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Squared matrix elements for 2 → 3 processes in massless QCD
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bin
Makefile
Qg2Qgg.m
README.md
gg2ggg.m
gg2qQg.m
me2to3.frm
me2to3.h
qP2qPg.m
qQ2Ppg.m
qQ2ggg.m
qQ2qQg.m
qg2qgg.dat
qg2qgg.m
qg2qpP.m
qg2qqQ.m
qp2qpg.m
qq2qqg.m

README.md

Author: Oleksandr Gituliar oleksandr@gituliar.net Last modified: 2017-02-02

This directory contains QCD squared matrix elements for 2 → 3 processes. It is assumed that

  • pᵢ² = 0, i.e., all external particles are massless
  • n-dimensional space-time, n=4-2ε
  • physical kinematics p₁+p₂=p₃+p₄+p₅
  • s = (p₁+p₂)²

Initial expressions were taken from [1] and processed with the help of FORM. In total we have 12 physical processes which according to [1, Table 7] are divided into 4 groups:

Group A        Group B        Group C        Group D
-------        -------        -------        -------
qp2qpg         qq2qqg         qQ2ggg         gg2ggg
qP2qPg         qQ2qQg         qg2qgg
qQ2Ppg         qg2qqQ         Qg2Qgg
qg2qpP                        gg2qQg

where we use the notation:

  • q is a j-type quark
  • p is a k-type quark
  • Q is a j-type qnti-quark
  • P is a k-type qnti-quark
  • g is a gluon

[1] R.K.Ellis and J.C.Sexton "QCD Radiative Corrections to Parton Parton Scattering" 1985

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