Electron-Ion Collider impact study on the tensor charge of the nucleon

TL;DR

This study evaluates how the Electron-Ion Collider will improve the precision of measuring the nucleon's tensor charge by analyzing simulated data and comparing it with other experiments.

Contribution

It provides a detailed impact assessment of EIC pseudo-data on the extraction of the nucleon tensor charge, highlighting its potential to match lattice QCD precision.

Findings

EIC data significantly reduces tensor charge uncertainties.

EIC can achieve precision comparable to lattice QCD.

Combined EIC and Jefferson Lab data enhance constraints.

Abstract

In this letter we study the impact of the Electron-Ion Collider (EIC) on the phenomenological extraction of the tensor charge from a QCD global analysis of single transverse-spin asymmetries (SSAs). We generate EIC pseudo-data for the Collins effect in semi-inclusive deep-inelastic scattering for proton and $^{3\!}He$ beams across multiple center-of-mass energies. We find a significant reduction in the uncertainties for the up, down, and isovector tensor charges that will make their extraction from EIC data on SSAs as precise as current lattice QCD calculations. We also analyze the constraints placed by future data from the proposed SoLID experiment at Jefferson Lab, discuss its important complementary role to the EIC, and present the combined impact from both facilities.