English

Flavor decomposition for the proton helicity parton distribution functions

High Energy Physics - Lattice 2021-03-17 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We present, for the first time, an \textit{ab initio} calculation of the individual up, down and strange quark helicity parton distribution functions for the proton. The calculation is performed within the twisted mass clover-improved fermion formulation of lattice QCD using one ensemble of dynamical up, down, strange and charm quarks with a pion mass of 260 MeV. The lattice matrix elements are non-perturbatively renormalized and the final results are presented in the MS\overline{ \rm MS} scheme at a scale of 2 GeV. We give results on the Δu+(x)\Delta u^+(x) and Δd+(x)\Delta d^+(x), including disconnected quark loop contributions, as well as on the Δs+(x)\Delta s^+(x). For the latter we achieve unprecedented precision compared to the phenomenological estimates.

Keywords

Cite

@article{arxiv.2009.13061,
  title  = {Flavor decomposition for the proton helicity parton distribution functions},
  author = {C. Alexandrou and M. Constantinou and K. Hadjiyiannakou and K. Jansen and F. Manigrasso},
  journal= {arXiv preprint arXiv:2009.13061},
  year   = {2021}
}

Comments

6 pages, 3 figures

R2 v1 2026-06-23T18:50:07.091Z