Two-loop QCD helicity amplitudes for massless quark-quark scattering | Zendy

E. W. N. Glover | Zendy

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

Author(s) -

E. W. N. Glover

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/04/021

Subject(s) - physics , helicity , massless particle , quark , quantum chromodynamics , particle physics , scattering amplitude , amplitude , loop (graph theory) , quantum electrodynamics , renormalization , mathematical physics , quantum mechanics , mathematics , combinatorics

We present the two-loop helicity amplitudes for the scattering of masslessquarks in QCD. We use projector techniques to compute the coefficients of thegeneral four-quark amplitude at up to two-loops in conventional dimensionalregularisation and use these coefficients to derive the helicity amplitudes inthe 't Hooft-Veltman scheme. The structure of the infrared divergences agreeswith that predicted by Catani while expressions for the finite remainders for$q \bar q \to Q\bar Q$ and the processes related by crossing symmetry are givenin 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 thefinite remainders for interference of tree and two-loop amplitudes given inRefs. [1,2].Comment: Latex, JHEP3 class, 68 pages, typos corrected, reference adde

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