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

Abstract

We perform a next-to-leading-order QCD analysis to world data on polarized structure functions g1 and g2 in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study their non-negligible effects on physically interesting quantities. Twist-3 contributions to both polarized structure functions are determined, and the accuracy of the extracted polarized parton distribution functions is improved. 3 He and 3 H polarized structure functions are described based on our fit result. Moreover, sum rules are derived and compared with available theoretical and experimental results.

Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence

“…The spin-dependent proton, neutron and deuteron structure functions as a function of x and Q 2 . Our results, MA22, at the NNLO approximation (solid curve) are compared with KTA17 at the same approximation (dashed) [13], with THK14 at the NLO approximation (dashed-dotted) [76], with TKAA16 at the NNLO approximation (long-dashed dotted) [12],with KATAO11 at the NLO approximation (dashed-dotted-dotted) [24] and finally with NAAMY21 at the NLO approximation (dashed-dashed-dotted) [29].…”

“…The results from KATAO11 analysis in NLO approximation [24], TKAA16 analysis in NNLO approximation [12], KTA17 analysis in NNLO approximation [13], THK14 analysis in NLO approximation [76] and finally NAAMY21 analysis in NLO approximation [29] are also depicted there. We find our results are in good agreement with the experimental data and in accord with other determinations over the entire range of x at Q 2 =5 GeV 2 .…”

Quasi parton distributions and the gradient flow

“…subtle [39,40], for our purposes it is sufficient that these non-leading corrections can be absorbed by writing [15,18] …”