Polarized deeply inelastic scattering (DIS) structure functions for nucleons and nuclei

Abstract

We extract parton distribution functions (PDFs) and structure functions from recent experimental data of polarized lepton-DIS on nucleons at next-to-leading order (NLO) Quantum Chromodynamics. We apply the Jacobi polynomial method to the DGLAP evolution as this is numerically efficient. Having determined the polarized proton and neutron spin structure, we extend this analysis to describe 3 He and 3 H polarized structure functions, as well as various sum rules. We compare our results with other analyses from the literature.

Polarized parton densities and spin dependent structure function of the nucleon

“…where N max is the number of polynomials which we have considered N max = 9 and we used α = 3.0 and β = 0.5 [9][10][11][12]. Also, in above equation Θ α,β n (x) is as following …”

“…[8][9][10][11][12][13][14][15][16] we have extracted PPDFs from different approaches, such as Jacobi polynomials for PPDFs parameterization up to NLO and different available experimental data.…”

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

“…In our latest analysis [14], we determined PPDFs based on Jacobi polynomials using only g 1 experimental data and simply considered g 1 (x, Q 2 ) = g 1 (x, Q 2 ) pQCD . In the present study, we improve our precision with full g 1 and g 2 analysis including TMCs and HT contributions.…”

“…Extraction of polarized PDFs (PPDFs) from a variety of experiments within NLO analyses is an important phenomenological issue [7][8][9][10][11][12][13][14][15]. To compensate for the scarcity of polarized high-energy data points available to global PPDF analyses, the applied cuts were relaxed; thereby, one is typically forced to make use of the data at lower Q 2 and higher x. Consequently, pQCD calculation cannot be trusted alone.…”

“…For example, the LSS analysis [17] considered the impact of higher twist corrections on their PPDFs, or the DSSV study [10] included semiinclusive data in its fitting pass and had different curves forū,d, ands. [14], LSS (long dashed) [17], BB (dashed dotted) [11], DSSV (long dashed dotted) [10], GRSV (dashed-dotted dotted) [56], and AAC (long dasheddashed dotted) [12].…”