Power Corrections to Energy Flow Correlations from Large Spin Perturbation

TL;DR

This paper develops a systematic method to include power corrections in energy flow correlations in QCD, using conformal bootstrap techniques to resum large logarithms beyond leading power, demonstrated in N=4 Super Yang-Mills theory.

Contribution

It introduces a novel approach to incorporate power corrections in energy flow correlations by identifying low-twist, large-spin operators and applying bootstrap methods for all-order resummation.

Findings

Resummed leading and next-to-leading logarithms beyond leading power.

Applied the method explicitly in N=4 Super Yang-Mills theory.

Provided insights into subleading contributions in energy correlations.

Abstract

Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of QCD on the lightcone and can be described by a transverse-momentum dependent factorization formula in the leading power approximation. In this work, we develop a systematic method to go beyond this approximation. We identify the origin of logarithmically enhanced contributions in the back-to-back limit as the exchange of operators with low twists and large spins in the local operator product expansion. Using techniques from the conformal bootstrap, the large logarithms beyond leading power can be resummed to all orders in the perturbative coupling. As an illustration of this method, we perform an all-order resummation of the leading and next-to-leading logarithms beyond the leading power in ${\cal N} = 4$ Super Yang-Mills theory.