Expression for differential cross sections

The expressions are provided (see links below) as text files in C-like format. They are expressed in terms of inner product of 4-vectors of leptons and incoming partons in the center-of-mass frame of the 4 leptons.

Constants used are as follows:

• Pi = π = 3.141592653589793238462643383279502884797169399375105820974944
• Mz = Mass of Z boson
• wZ = Width of Z boson
• M1, M2 = The two di-lepton masses
• gL, gR = Left-handed and right-handed coupling of Z to leptons
• gqL, gqR = Left-handed and right-handed coupling of Z to quarks
• s = center-of-mass energy of the 4-lepton system
• el = charge of the electron
• p3, p4, p5, p6 = 4-vectors of the final leptons
• p1, p2 = (s/2, 0, 0, ±s/2) = 4-vectors of the incoming partons
• SC(A, B) = g_μνA^μB^ν with convention (+, -, -, -)
• EPS(A, B, C, D) = ε_μνρσ A^μB^νC^ρD^σ, where ε_μνρσ is the fully anti-symmetric tensor with ε₀₁₂₃ = +1.
• vh = vev

General spin-0 effective Lagrangian up to dim-5 operators

In the expression you'll see some cryptic parameters not explained above. Here's what they are. The effective Lagrangian can be written as follows:

L ~ v^-1 X (M_Z² A₁^ZZ Z^μ Z_μ + A₂^ZZ Z^μν Z_μν + A₃^ZZ Z^μν Z̃_μν + A₂^ZA Z^μν F_μν + A₃^ZA Z^μν F̃_μν + A₂^AA F^μν F_μν + A₃^AA F^μν F̃_μν)

The mappings are:

• A₁^ZZ = ahR + ahI i
• A₂^ZZ = aZR + aZI i
• A₃^ZZ = aZdR + aZdI i
• A₂^ZA = aZAR + aZAI i
• A₃^ZA = aZAdR + aZAdI i
• A₂^AA = aAR + aAI i
• A₃^AA = aAdR + aAdI i

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