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

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States); OSTI
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  3. Max Planck Inst. for Physics, Munich (Germany)
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 \( \mathcal{N} \) = 4 super-Yang-Mills. These logarithms can also be extracted to \( \mathcal{O}\left({\alpha}_s^3\right) \) 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.
Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Max Planck Inst. for Physics, Munich (Germany); SLAC National Accelerator Lab., Menlo Park, CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
European Research Council (ERC); Horizon 2020; USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-76SF00515; SC0011090
OSTI ID:
1646644
Alternate ID(s):
OSTI ID: 1824780
OSTI ID: 1647029
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2020; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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