Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections

Abstract

We determine polarized parton distribution functions (PPDFs) and structure functions from recent experimental data of polarized deep inelastic scattering (DIS) on nuleons at next-to-next-to-leading order (NNLO) approximation in perturbative quantum chromodynamic (pQCD). The nucleon polarized structure functions are computed using the Jacobi polynomial approach while target mass corrections (TMCs) are included in our fitting procedure. Having extracted the polarized spin structure functions, we extend our study to describe ${}^3\mathrm{H}e$ and ${}^3\mathrm{H}$ polarized structure functions, as well as the Bjorken sum rule. We also explore the importance of the nuclear corrections on the polarized nuclear structure functions at small and large values of $x$. Our results are compared with the recent available and high precision polarized ${}^3\mathrm{H}e$ and ${}^3\mathrm{H}$ experimental data.

18 page, 12 Figs. , 2 Table

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• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
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• Toward Precision Helicity PDFs from Global DIS and SIDIS Fits with Projected EIC Measurements
• The effect of light sea quark symmetry breaking on polarized nucleus and sum rules
• Global analysis on determination of fracture functions considering sea quark asymmetries in the nucleon