Integrands of less-supersymmetric Yang-Mills at one loop

Author:

Bourjaily Jacob L.,Herrmann EnricoORCID,Langer CameronORCID,Patatoukos Kokkimidis,Trnka Jaroslav,Zheng Minshan

Abstract

Abstract We construct a prescriptive, bubble power-counting basis of one-loop integrands suitable for representing amplitude integrands in less-supersymmetric (1 $$ \mathcal{N} $$ N 4) Yang-Mills theory. With the exception of massless bubbles, all integrands have unambiguous, leading singularities as coefficients defined in field theory; for the massless bubbles on external legs, we find two natural choices which lead to different integrands that highlight distinct aspects of field theory. For concreteness, we give the all-multiplicity integrands for MHV amplitudes, and the split-helicity amplitude integrand for six-particle NMHV. The basis we construct is mostly pure and is divided into to separately UV- and IR-finite sectors of fixed transcendental weight, resulting in UV- and IR-finite ratio functions of n-particle helicity amplitudes.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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