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Title: Subleading power factorization with radiative functions

Abstract

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ2) in the power expansion, to all orders in αs. For the particular case of event shape observables in e+e → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ2).

Authors:
 [1];  [2]; ORCiD logo [2]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation
OSTI Identifier:
1658921
Alternate Identifier(s):
OSTI ID: 1635602
Grant/Contract Number:  
AC02-05CH11231; SC0011090; 327942
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: 2019; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Moult, Ian, Stewart, Iain W., and Vita, Gherardo. Subleading power factorization with radiative functions. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep11(2019)153.
Moult, Ian, Stewart, Iain W., & Vita, Gherardo. Subleading power factorization with radiative functions. United States. https://doi.org/10.1007/jhep11(2019)153
Moult, Ian, Stewart, Iain W., and Vita, Gherardo. Tue . "Subleading power factorization with radiative functions". United States. https://doi.org/10.1007/jhep11(2019)153. https://www.osti.gov/servlets/purl/1658921.
@article{osti_1658921,
title = {Subleading power factorization with radiative functions},
author = {Moult, Ian and Stewart, Iain W. and Vita, Gherardo},
abstractNote = {The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ2) in the power expansion, to all orders in αs. For the particular case of event shape observables in e+e– → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ2).},
doi = {10.1007/jhep11(2019)153},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2019,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 6 works
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Figures / Tables:

Figure 1 Figure 1: Subleading power contributions from the emission of a soft quark or gluon in a hard scattering. The subleading emission can either be from a local hard scattering operator, as shown in a), c), or from a radiative contribution from the energetic partons, as in b), d).

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