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Title: Soft gluon emission at two loops in full color

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2];  [3]
  1. SLAC National Accelerator Lab., Stanford, CA (United States)
  2. Max Planck Inst. fur Physik, Munchen (Germany)
  3. Zhejiang Univ., Hangzhou (China). Dept. of Physics
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE; National Natural Science Foundation of China (NSFC); European Research Council (ERC)
OSTI Identifier:
1638140
Grant/Contract Number:  
AC02-76SF00515; 11975200; 725110
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Perturbative QCD; Scattering amplitudes

Citation Formats

Dixon, Lance J., Herrmann, Enrico, Yan, Kai, and Zhu, Hua Xing. Soft gluon emission at two loops in full color. United States: N. p., 2020. Web. https://doi.org/10.1007/jhep05(2020)135.
Dixon, Lance J., Herrmann, Enrico, Yan, Kai, & Zhu, Hua Xing. Soft gluon emission at two loops in full color. United States. https://doi.org/10.1007/jhep05(2020)135
Dixon, Lance J., Herrmann, Enrico, Yan, Kai, and Zhu, Hua Xing. Wed . "Soft gluon emission at two loops in full color". United States. https://doi.org/10.1007/jhep05(2020)135. https://www.osti.gov/servlets/purl/1638140.
@article{osti_1638140,
title = {Soft gluon emission at two loops in full color},
author = {Dixon, Lance J. and Herrmann, Enrico and Yan, Kai and Zhu, Hua Xing},
abstractNote = {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.},
doi = {10.1007/jhep05(2020)135},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2020,
place = {United States},
year = {2020},
month = {5}
}

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