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arXiv · 2112.06901

Integrands of Less-Supersymmetric Yang-Mills at One Loop

Jacob L. Bourjaily·Enrico Herrmann·Cameron Langer·Kokkimidis Patatoukos·Jaroslav Trnka·Minshan Zheng
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Abstract

We construct a prescriptive, bubble power-counting basis of one-loop integrands suitable for representing amplitude integrands in less-supersymmetric 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.

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Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Kokkimidis Patatoukos, Jaroslav Trnka, Minshan Zheng. 2021-12-13. Integrands of Less-Supersymmetric Yang-Mills at One Loop. https://doi.org/10.1007/jhep03(2022)126

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