A Unitarity Approach to Two-Loop All-Plus Rational Terms

2022/06/29 by David A. Kosower, Kosower, David A., Sebastian Pögel +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2206.14445

openalex publication_date 2022/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using D-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop D-dimensional unitarity to perform calculations. We compute the four- and five-point rational terms analytically, and the six- and seven-point ones numerically. We find agreement with previous calculations of Dalgleish, Dunbar, Godwin, Jehu, Perkins, and Strong. For a special subleading-color amplitude, we compute the eight- and nine-point results numerically, and find agreement with an all-n conjecture of Dunbar, Perkins, and Strong.

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