Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes

Kälin, Gregor; Mogull, Gustav; Ochirov, Alexander; Verbeek, Bram

doi:10.1007/jhep01(2020)068

Title: Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes

Journal Article · Mon Jan 13 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2020)068· OSTI ID:1605201

Kälin, Gregor ^[1];

^[2]; Ochirov, Alexander ^[3]; Verbeek, Bram ^[2]

Uppsala Univ. (Sweden); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Uppsala Univ. (Sweden)
ETH Zurich (Switzerland)

Using a careful choice of infrared (IR) subtraction scheme, we demonstrate cancellation of all terms with transcendental weights 0, 1, 2 from the finite part of the full-color two-loop four-gluon N = 2 supersymmetric QCD amplitude, with Nf massless supersymmetric quarks. This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where N_f = 2N_c for gauge group SU(N_c). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. The divergences are written in terms of scalar triangle integrals whose expressions are known to all orders in the dimensional regulator ϵ = (4 - D)/2. We also present integrated expressions for the full-color two-loop four-point amplitudes with both matter and vectors on external legs in which lower-weight terms also cancel using an appropriate IR scheme. This provides us with values for the two-loop cusp, gluonic, and quark anomalous dimensions in N = 2 supersymmetric QCD, which are cross-checked between the three different amplitudes.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1605201

Report Number(s):: SLAC-PUB-17488; TRN: US2104393

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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