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Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case. (English) Zbl 1409.81155

Summary: We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.

MSC:

81U20 \(S\)-matrix theory, etc. in quantum theory
81V05 Strong interaction, including quantum chromodynamics
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
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