Soft gluon emission at two loops in full color

Dixon, Lance J.; Herrmann, Enrico; Yan, Kai; Zhu, Hua Xing

doi:10.1007/jhep05(2020)135

Title: Soft gluon emission at two loops in full color

Journal Article · 26 May 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep05(2020)135 · OSTI ID:1638140

^[1];

^[1]; Yan, Kai ^[2]; Zhu, Hua Xing ^[3]

SLAC National Accelerator Lab., Stanford, CA (United States)
Max Planck Inst. fur Physik, Munchen (Germany)
Zhejiang Univ., Hangzhou (China). Dept. of Physics

The soft emission factor is a central ingredient in the factorization of generic n-particle gauge theory amplitudes with one soft gluon in the external state. We present the complete two-loop soft factor, capturing the leading power behavior in the soft-gluon momentum. At two loops, the color structure and the kinematic dependence of the soft factor become nontrivial as the soft gluon can couple to three hard partons for the first time (tripole terms). The nontrivial kinematic dependence of the tripole terms is of uniform, maximal transcendental weight, and can be expressed (in a “Euclidean” region) in terms of single-valued harmonic polylogarithms. Our results are consistent with the behavior of the recently computed symbol of the two-loop five-particle amplitude in $$Ν$$ = 4 super-Yang-Mills theory. In the limit where the outgoing soft gluon is also collinear with an incoming hard parton, potentially dangerous factorization-violating terms can arise.

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

Sponsoring Organization:: USDOE; National Natural Science Foundation of China (NNSFC); European Research Council (ERC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1638140

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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