QCD effective charges from low-energy neutrino structure functions

TL;DR

This paper introduces a novel approach to studying the strong coupling constant in the low-energy regime using neutrino-nucleus structure functions and the GLS sum rule, validated against JLab data.

Contribution

It proposes a new method to define the QCD effective charge at low energies based on neutrino structure functions and the GLS sum rule, extending the analysis across all Q^2 values.

Findings

Effective charge matches experimental data at low energies.

Method provides a continuous description from photoproduction to high-energy regions.

Validates the approach with JLab measurements.

Abstract

We present a new perspective on the study of the behavior of the strong coupling $\alpha_s(Q^2)$ -- the fundamental coupling underlying the interactions between quarks and gluons as described by the Quantum Chromodynamics (QCD) -- in the low-energy infrared (IR) regime. We rely on the NNSF$\nu$ determination of neutrino-nucleus structure functions valid for all values of $Q^2$ from the photoproduction to the high-energy region to define an effective charge following the the Gross-Llewellyn Smith (GLS) sum rule. As a validation, our predictions for the low-energy QCD effective charge are compared to experimental measurements provided by JLab.