Subleading power resummation of rapidity logarithms: the energy-energy correlator in N$$ \mathcal{N} $$ = 4 SYM
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Author(s)
Vita, Gherardo
Date Issued
July 1, 2020
Journal
Journal of high energy physics
Publisher
Springer Berlin Heidelberg
Citation
Moult, Ian, Gherardo Vita and Kai Yan. “Subleading power resummation of rapidity logarithms: the energy-energy correlator in N$$ \mathcal{N} $$ = 4 SYM.” Journal of high energy physics, 7, 5 (July 2020): 1912.2188 © 2020 The Author(s)
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Final published version
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 \mathcal{N} N = 4 super-Yang-Mills. These logarithms can also be extracted to O(αs3) \mathcal{O}\left({\alpha}_s^3\right) O(αs3) 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_{T}T spectrum for color singlet boson production at hadron colliders, and the resummation of power suppressed logarithms in the Regge limit.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP07(2020)005
