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Title: Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N}$$ = 4 SYM

Abstract

We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the “rapidity identity operators”, that will generically appear at subleading power in problems involving both rapidity and virtuality scales. To illustrate our formalism, we analytically solve these equations to resum the power suppressed logarithms appearing in the back-to-back (double light cone) limit of the Energy-Energy Correlator (EEC) in N = 4 super-Yang-Mills. These logarithms can also be extracted to O ( α s 3 ) from a recent perturbative calculation, and we find perfect agreement to this order. Instead of the standard Sudakov exponential, our resummed result for the subleading power logarithms is expressed in terms of Dawson’s integral, with an argument related to the cusp anomalous dimension. We call this functional form “Dawson’s Sudakov”. Our formalism is widely applicable for the resummation of subleading power rapidity logarithms in other more phenomenologically relevant observables, such as the EEC in QCD, the p T spectrum for color singlet boson production at hadron colliders, and the resummation of power suppressed logarithms in the Regge limit.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  3. Max Planck Inst. fur Physik, Munchen (Germany)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Max Planck Inst. for Physics, Munich (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Horizon 2020; USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)
OSTI Identifier:
1647029
Alternate Identifier(s):
OSTI ID: 1646644
Grant/Contract Number:  
AC02-76SF00515; SC0011090; 725110
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2020; Journal Issue: 7; 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; resummation; supersymmetric gauge theory

Citation Formats

Moult, Ian, Vita, Gherardo, and Yan, Kai. Subleading power resummation of rapidity logarithms: the energy-energy correlator in $ \mathcal{N}$ = 4 SYM. United States: N. p., 2020. Web. doi:10.1007/jhep07(2020)005.
Moult, Ian, Vita, Gherardo, & Yan, Kai. Subleading power resummation of rapidity logarithms: the energy-energy correlator in $ \mathcal{N}$ = 4 SYM. United States. https://doi.org/10.1007/jhep07(2020)005
Moult, Ian, Vita, Gherardo, and Yan, Kai. Wed . "Subleading power resummation of rapidity logarithms: the energy-energy correlator in $ \mathcal{N}$ = 4 SYM". United States. https://doi.org/10.1007/jhep07(2020)005. https://www.osti.gov/servlets/purl/1647029.
@article{osti_1647029,
title = {Subleading power resummation of rapidity logarithms: the energy-energy correlator in $ \mathcal{N}$ = 4 SYM},
author = {Moult, Ian and Vita, Gherardo and Yan, Kai},
abstractNote = {We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the “rapidity identity operators”, that will generically appear at subleading power in problems involving both rapidity and virtuality scales. To illustrate our formalism, we analytically solve these equations to resum the power suppressed logarithms appearing in the back-to-back (double light cone) limit of the Energy-Energy Correlator (EEC) in N = 4 super-Yang-Mills. These logarithms can also be extracted to O ( α s 3 ) from a recent perturbative calculation, and we find perfect agreement to this order. Instead of the standard Sudakov exponential, our resummed result for the subleading power logarithms is expressed in terms of Dawson’s integral, with an argument related to the cusp anomalous dimension. We call this functional form “Dawson’s Sudakov”. Our formalism is widely applicable for the resummation of subleading power rapidity logarithms in other more phenomenologically relevant observables, such as the EEC in QCD, the pT spectrum for color singlet boson production at hadron colliders, and the resummation of power suppressed logarithms in the Regge limit.},
doi = {10.1007/jhep07(2020)005},
url = {https://www.osti.gov/biblio/1647029}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 7,
volume = 2020,
place = {United States},
year = {2020},
month = {7}
}

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