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

2003/04/30 by E. W. N. Glover, María Elena Tejeda-Yeomans, M. E. Tejeda-Yeomans · 2 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Gauge boson #Gauge theory #Gluon #Helicity #Massless particle #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Scattering amplitude #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/06/033

published as JHEP 0306:033,2003 · 47 pages, JHEP class, three text files with finite remainders of tree, one-loop and two-loop helicity amplitudes ggHELS.out, gpHELS.out, ppHELS.out minor typos corrected

openalex publication_date 2003/06/17 · arxiv created 2007/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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].

Citations

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Cited by

• Curvature-squared multiplets, evanescent effects, and the U(1) anomaly in N=4 supergravity
• Two-loop QCD helicity amplitudes for massless quark-quark scattering