A Review of Target Mass Corrections

TL;DR

This paper reviews the theoretical framework and numerical impact of target mass corrections on structure functions in lepton-nuclear scattering, emphasizing their importance for accurate parton distribution function extraction at large x.

Contribution

It provides a comprehensive overview of target mass corrections, including formulas, analysis of hadronic and partonic masses, and their effects on data fitting in electromagnetic and weak processes.

Findings

TMCs significantly affect structure function data at large x.

Inclusion of TMCs improves the fit quality to experimental data.

The paper clarifies the limitations of TMCs near x→1.

Abstract

With recent advances in the precision of inclusive lepton--nuclear scattering experiments, it has become apparent that comparable improvements are needed in the accuracy of the theoretical analysis tools. In particular, when extracting parton distribution functions in the large-x region, it is crucial to correct the data for effects associated with the nonzero mass of the target. We present here a comprehensive review of these target mass corrections (TMC) to structure functions data, summarizing the relevant formulas for TMCs in electromagnetic and weak processes. We include a full analysis of both hadronic and partonic masses, and trace how these effects appear in the operator product expansion and the factorized parton model formalism, as well as their limitations when applied to data in the x->1 limit. We evaluate the numerical effects of TMCs on various structure functions, and compare fits to data with and without these corrections.