Study of the derivative expansions for the nuclear structure functions

TL;DR

This paper investigates the convergence of derivative series expansions in modeling nuclear effects in Deep Inelastic Scattering, highlighting poor convergence except at very low x values, which impacts theoretical uncertainty assessments.

Contribution

It provides an analysis of the convergence properties of derivative expansions in nuclear structure functions using realistic spectral functions with nucleon correlations.

Findings

Poor convergence of derivative expansions at most x values

Good convergence only at very low x

Implications for theoretical uncertainty in DIS analysis

Abstract

We study the convergence of the series expansions sometimes used in the analysis of the nuclear effects in Deep Inelastic Scattering (DIS) proccesses induced by leptons. The recent advances in statistics and quality of the data, in particular for neutrinos calls for a good control of the theoretical uncertainties of the models used in the analysis. Using realistic nuclear spectral functions which include nucleon correlations, we find that the convergence of the derivative expansions to the full results is poor except at very low values of $x$.