I could not break this equation. Please help me
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
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f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
New contributor
6
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
New contributor
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
equations
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New contributor
edited 2 hours ago
Phelype Oleinik
25.2k54690
25.2k54690
New contributor
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
111
New contributor
New contributor
6
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
6
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
6
6
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
2
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
2 Answers
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First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left
… right
pairs. I deleted those. Further, I replaced text
by the more appropriate mathrm
. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use ,
for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
add a comment |
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left
and right
sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
add a comment |
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First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left
… right
pairs. I deleted those. Further, I replaced text
by the more appropriate mathrm
. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use ,
for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
add a comment |
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left
… right
pairs. I deleted those. Further, I replaced text
by the more appropriate mathrm
. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use ,
for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
add a comment |
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left
… right
pairs. I deleted those. Further, I replaced text
by the more appropriate mathrm
. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use ,
for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left
… right
pairs. I deleted those. Further, I replaced text
by the more appropriate mathrm
. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use ,
for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
13.2k24762
add a comment |
add a comment |
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left
and right
sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
add a comment |
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left
and right
sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
add a comment |
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left
and right
sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left
and right
sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 53 mins ago
MicoMico
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286k32391779
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Sahabub Jahedi is a new contributor. Be nice, and check out our Code of Conduct.
Sahabub Jahedi is a new contributor. Be nice, and check out our Code of Conduct.
Sahabub Jahedi is a new contributor. Be nice, and check out our Code of Conduct.
Sahabub Jahedi is a new contributor. Be nice, and check out our Code of Conduct.
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6
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
2 hours ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago