The soft quark Sudakov

Moult, Ian; Stewart, Iain W.; Vita, Gherardo; Zhu, Hua Xing

doi:10.1007/JHEP05(2020)089

The soft quark Sudakov

Journal Article · Wed May 20 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2020)089· OSTI ID:1635610

Moult, Ian ^[1]; Stewart, Iain W. ^[2]; ^[2]; Zhu, Hua Xing ^[3]

Stanford Univ., CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Zhejiang Univ. (China)

There has been recent interest in understanding the all loop structure of the subleading power soft and collinear limits, with the goal of achieving a systematic resummation of subleading power infrared logarithms. Most of this work has focused on subleading power corrections to soft gluon emission, whose form is strongly constrained by symmetries. In this paper we initiate a study of the all loop structure of soft fermion emission. In N = 1 QCD we perform an operator based factorization and resummation of the associated infrared logarithms using the formalism introduced in, and prove that they exponentiate into a Sudakov due to their relation to soft gluon emission. We verify this result through explicit calculation to O($$α$$ $$^{3}_{s}$$). We show that in QCD, this simple Sudakov exponentiation is violated by endpoint contributions proportional to (C_A–C_F)ⁿ which contribute at leading logarithmic order. Combining our N = 1 result and our calculation of the endpoint contributions to O($$α$$ $$^{3}_{s}$$), we conjecture a result for the soft quark Sudakov in QCD, a new all orders function first appearing at subleading power, and give evidence for its universality. Our result, which is expressed in terms of combinations of cusp anomalous dimensions in different color representations, takes an intriguingly simple form and also exhibits interesting similarities to results for large-x logarithms in the off diagonal splitting functions.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-76SF00515; SC0011090

OSTI ID:: 1635610

Alternate ID(s):: OSTI ID: 1638149

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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