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Title: Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit

Abstract

We present an operator-based factorization formula for the transverse energy-energy correlator (TEEC) hadron collider event shape in the back-to-back (dijet) limit. This factorization formula exhibits a remarkably symmetric form, being a projection onto a scattering plane of a more standard transverse momentum dependent factorization. Soft radiation is incorporated through a dijet soft function, which can be elegantly obtained to next-to-next-to-leading order (NNLO) due to the symmetries of the problem. We present numerical results for the TEEC resummed to next-to-next-to-leading logarithm (NNLL) matched to fixed order at the LHC. Our results constitute the first NNLL resummation for a dijet event shape observable at a hadron collider, and the first analytic result for a hadron collider dijet soft function at NNLO. We anticipate that the theoretical simplicity of the TEEC observable will make it indispensable for precision studies of QCD at the LHC, and as a playground for theoretical studies of factorization and its violation.

Authors:
; ; ;
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1547953
Alternate Identifier(s):
OSTI ID: 1558969; OSTI ID: 1630613
Report Number(s):
LA-UR-19-20914
Journal ID: ISSN 0031-9007; PRLTAO; 062001
Grant/Contract Number:  
AC02-05CH11231; 89233218CNA000001
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 123 Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic, Nuclear and Particle Physics; QCD; TEEC; Jet; LHC

Citation Formats

Gao, AnJie, Li, Hai Tao, Moult, Ian, and Zhu, Hua Xing. Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.062001.
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Gao, AnJie, Li, Hai Tao, Moult, Ian, & Zhu, Hua Xing. Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit. United States. https://doi.org/10.1103/PhysRevLett.123.062001
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Gao, AnJie, Li, Hai Tao, Moult, Ian, and Zhu, Hua Xing. Mon . "Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit". United States. https://doi.org/10.1103/PhysRevLett.123.062001.
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@article{osti_1547953,
title = {Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit},
author = {Gao, AnJie and Li, Hai Tao and Moult, Ian and Zhu, Hua Xing},
abstractNote = {We present an operator-based factorization formula for the transverse energy-energy correlator (TEEC) hadron collider event shape in the back-to-back (dijet) limit. This factorization formula exhibits a remarkably symmetric form, being a projection onto a scattering plane of a more standard transverse momentum dependent factorization. Soft radiation is incorporated through a dijet soft function, which can be elegantly obtained to next-to-next-to-leading order (NNLO) due to the symmetries of the problem. We present numerical results for the TEEC resummed to next-to-next-to-leading logarithm (NNLL) matched to fixed order at the LHC. Our results constitute the first NNLL resummation for a dijet event shape observable at a hadron collider, and the first analytic result for a hadron collider dijet soft function at NNLO. We anticipate that the theoretical simplicity of the TEEC observable will make it indispensable for precision studies of QCD at the LHC, and as a playground for theoretical studies of factorization and its violation.},
doi = {10.1103/PhysRevLett.123.062001},
journal = {Physical Review Letters},
number = 6,
volume = 123,
place = {United States},
year = {Mon Aug 05 00:00:00 EDT 2019},
month = {Mon Aug 05 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevLett.123.062001
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