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 H3e 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.
Highlights
The tensor charge gT is one of the fundamental charges of the nucleon [1,2,3,4,5] and, arguably, the least known
The first are those studies that use transverse momentum dependent (TMD) observables like the Collins effect in semi-inclusive deep-inelastic scattering (SIDIS) [23,24,25,26,27,28,29] and semi-inclusive electron-positron annihilation to almost back-to-back hadrons (SIA) [30,31,32,33,34], which allow for the transversity TMD parton distribution function (PDF) h1(x, kT2 ) and Collins TMD fragmentation function (FF) H1⊥(z, p2T ) to be fit simultaneously [6, 9, 12, 13]
We have studied the impact on the tensor charge from Electron-Ion Collider (EIC) pseudo-data of the SIDIS Collins effect using the results of the JAM20 global analysis of single transverse-spin asymmetries (SSAs) [13]
Summary
The tensor charge gT is one of the fundamental charges of the nucleon [1,2,3,4,5] and, arguably, the least known. Phenomenological extractions of the tensor charge have typically fallen into two main categories The first are those studies that use transverse momentum dependent (TMD) observables like the Collins effect in semi-inclusive deep-inelastic scattering (SIDIS) [23,24,25,26,27,28,29] and semi-inclusive electron-positron annihilation to almost back-to-back hadrons (SIA) [30,31,32,33,34], which allow for the transversity TMD PDF h1(x, kT2 ) and Collins TMD fragmentation function (FF) H1⊥(z, p2T ) (defined below) to be fit simultaneously [6, 9, 12, 13].
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