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:
-
[2];
- Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
- Zhejiang University, Hangzhou (China). Department of Physics
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (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)
- OSTI Identifier:
- 1480821
- Alternate Identifier(s):
- OSTI ID: 1635386
- 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. https://doi.org/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. https://doi.org/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 = {Mon Aug 06 00:00:00 EDT 2018},
month = {Mon Aug 06 00:00:00 EDT 2018}
}
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