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Title: First subleading power resummation for event shapes

Abstract

We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables τ at subleading power in the τ « 1 expansion. These equations involve a class of universal jet and soft functions arising through operator mixing, which we call θ-jet and θ-soft functions. An illustrative example involving these operators is introduced which captures the generic features of subleading power resummation, allowing us to derive the structure of the RG to all orders in αs, and provide field theory definitions of all ingredients. As a simple application, we use this to obtain an analytic leading logarithmic result for the subleading power resummed thrust spectrum for H → gg in pure glue QCD. This resummation determines the nature of the double logarithmic series at subleading power, which we find is still governed by the cusp anomalous dimension. We check our result by performing an analytic calculation up to O(α$$3\atop{s}$$). Consistency of the subleading power RG relates subleading power anomalous dimensions, constrains the form of the θ-soft and θ-jet functions, and implies an exponentiation of higher order loop corrections in the subleading power collinear limit. Our results provide a path for carrying out systematic resummation at subleading power for collider observables.

Authors:
 [1];  [2]; ORCiD logo [2];  [3]
  1. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  3. Zhejiang University, Hangzhou (China). Department of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1480821
Grant/Contract Number:  
[AC02-05CH11231; SC0011090]
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: 2018; Journal Issue: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Perturbative QCD; Renormalization Group; Resummation

Citation Formats

Moult, Ian, Stewart, Iain W., Vita, Gherardo, and Zhu, Hua Xing. First subleading power resummation for event shapes. United States: N. p., 2018. Web. doi:10.1007/JHEP08(2018)013.
Moult, Ian, Stewart, Iain W., Vita, Gherardo, & Zhu, Hua Xing. First subleading power resummation for event shapes. United States. doi:10.1007/JHEP08(2018)013.
Moult, Ian, Stewart, Iain W., Vita, Gherardo, and Zhu, Hua Xing. Mon . "First subleading power resummation for event shapes". United States. doi:10.1007/JHEP08(2018)013. https://www.osti.gov/servlets/purl/1480821.
@article{osti_1480821,
title = {First subleading power resummation for event shapes},
author = {Moult, Ian and Stewart, Iain W. and Vita, Gherardo and Zhu, Hua Xing},
abstractNote = {We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables τ at subleading power in the τ « 1 expansion. These equations involve a class of universal jet and soft functions arising through operator mixing, which we call θ-jet and θ-soft functions. An illustrative example involving these operators is introduced which captures the generic features of subleading power resummation, allowing us to derive the structure of the RG to all orders in αs, and provide field theory definitions of all ingredients. As a simple application, we use this to obtain an analytic leading logarithmic result for the subleading power resummed thrust spectrum for H → gg in pure glue QCD. This resummation determines the nature of the double logarithmic series at subleading power, which we find is still governed by the cusp anomalous dimension. We check our result by performing an analytic calculation up to O(α$3\atop{s}$). Consistency of the subleading power RG relates subleading power anomalous dimensions, constrains the form of the θ-soft and θ-jet functions, and implies an exponentiation of higher order loop corrections in the subleading power collinear limit. Our results provide a path for carrying out systematic resummation at subleading power for collider observables.},
doi = {10.1007/JHEP08(2018)013},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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Cited by: 12 works
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