Quantum entropy and QCD factorization for low-$Q^2$ $\nu$DIS

TL;DR

This paper introduces a novel quantum entropy approach to analyze the limits of QCD factorization in low-$Q^2$ neutrino deep inelastic scattering, aiming to improve theoretical understanding for neutrino experiments.

Contribution

It proposes a new quantum entropy method to characterize factorization limits in QCD for neutrino DIS, addressing a key challenge at low $Q^2$ and $W^2$.

Findings

Quantum entropy characterizes factorization breaking.

Potential for quantum simulations of QCD processes.

Provides insights into low-$Q^2$ neutrino DIS dynamics.

Abstract

Deeply inelastic scattering (DIS) is an essential process for exploring the structure of visible matter and testing the standard model. At the same time, the theoretical interpretation of DIS measurements depends on QCD factorization theorems whose validity deteriorates at the lower values of $Q^2$ and $W^2$ typical of neutrino DIS in accelerator-based oscillation searches. For this reason, progress in understanding the origin and limits of QCD factorization is invaluable to the accuracy and precision of predictions for these upcoming neutrino experiments. In these short proceedings, we introduce a novel approach based on the quantum entropy associated with continuous distributions in QCD, using it to characterize the limits of factorization theorems relevant for the description of neutrino DIS. This work suggests an additional avenue for dissecting factorization-breaking dynamics through the quantum entropy, which could also play a role in quantum simulations of related systems.