Operator structure of power corrections and anomalous scaling in energy correlators

TL;DR

This paper investigates the operator structure behind power corrections and anomalous scaling in energy correlators within quantum chromodynamics, revealing a fundamental quantum field-theoretic origin using light-ray operators.

Contribution

It uncovers the quantum field-theoretic origin of universal anomalous scaling in energy correlators through explicit loop calculations involving light-ray operators.

Findings

Derived the one-loop anomalous dimension of energy-energy correlators.

Identified the necessity of combining dijet operators with a triple-jet component.

Established a first-principles framework linking operator theory to collider phenomenology.

Abstract

Energy correlators offer a clean probe of quantum chromodynamics, serving as an ideal laboratory to rigorously investigate non-perturbative power corrections. The recent discovery that linear corrections exhibit a universal anomalous scaling points to a deep, underlying theoretical structure. We uncover the quantum field-theoretic origin of this phenomenon in the energy-energy correlator using light-ray operators. Through an explicit loop calculation, we derive the one-loop anomalous dimension, revealing that the dijet operator must be combined with a specific triple-jet component. This provides a first-principles framework that connects operator theory with high-precision collider phenomenology.