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Higher order perturbative and nonperturbative QCD corrections on the proton structure functions and parity violating electron asymmetry

F. Zaidi, M. Sajjad Athar*, and S. K. Singh

  • *Corresponding author: sajathar@gmail.com
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Phys. Rev. D 114, 033001 – Published 10 August, 2026

DOI: https://doi.org/10.1103/n1sc-9bql

Abstract

We study the nonperturbative and higher-order perturbative corrections on the electromagnetic (F1p,2pγ) and electromagnetic-weak interference (F1p,2p,3pγZ) structure functions and their impact on the parity-violating electron asymmetry in the deep inelastic scattering of longitudinally polarized electron off an unpolarized proton target. The numerical results for them are presented by including the perturbative corrections beyond the leading order up to the next-next-to-leading-order and nonperturbative QCD corrections due to the target-mass corrections and the higher-twist (HT: twist-4) effects. We also present the numerical results for the electron beam spin asymmetry APV(e)(x,Q2) corresponding to the JLab energies of 6 GeV, 12 GeV, and 22 GeV and discuss the feasibility of determining the d/u quark distribution ratio. The results obtained in this work may be useful for the analysis of future measurements at the Electron Ion Collider (EIC) in the USA, and the Electron ion collider in China (EicC) aimed at studying parity-violating effects in the deep inelastic scattering of polarized electrons from unpolarized proton targets.

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Phys. Rev. D 114, 033001– Published 10 August, 2026
  • Received 16 March 2026
  • Accepted 13 July 2026
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