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

Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano

J. High Energy Phys. 2019, No. 1, Paper No. 186, 18 p. (2019).

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

Keywords:

perturbative QCD; scattering amplitudes

Software:

CutTools; GoSam; Reduze; BlackHat; SAMURAI; FIRE; FIRE5; Azurite; LiteRed; Kira

References:

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