Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering

Details Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering

2003-04-16

arxiv.org/abs/hep-ph/0304169v3

JHEP 0306:033,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

47 pages, JHEP class, three text files with finite remainders of tree, one-loop and two-loop helicity amplitudes ggHELS.out, g

Scientific paper

10.1088/1126-6708/2003/06/033

We present the two-loop helicity amplitudes for the scattering of massless quarks and massless gauge bosons in QCD. We use projector techniques to compute the coefficients of the general tensor describing the two-quark two-boson amplitude in conventional dimensional regularisation and use these coefficients to derive the helicity amplitudes in the 't Hooft-Veltman scheme. The structure of the infrared divergences agrees with that predicted by Catani while expressions for the finite remainders for q qbar -> gluon gluon, q qbar -> gluon gamma, q qbar -> gamma gamma and the processes related by crossing symmetry are given in terms of logarithms and polylogarithms that are real in the physical region. We have checked that the interference of tree and two-loop helicity amplitudes, summed over helicities and colours, reproduces the previous results for the finite remainders for interference of tree and two-loop amplitudes given in Refs. [1,2]. We also find agreement with the two-loop helicity amplitudes for quark-gluon scattering presented in Ref. [3].

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