A Lattice Calculation of Parton Distributions
Constantia Alexandrou, Krzysztof Cichy, Vincent Drach, Elena, Garcia-Ramos, Kyriakos Hadjiyiannakou, Karl Jansen, Fernanda Steffens,, Christian Wiese
TL;DR
This paper explores a novel lattice QCD approach to directly compute parton distribution functions, demonstrating promising results with twisted mass fermions and addressing key computational aspects like matching and renormalization effects.
Contribution
It introduces a new lattice QCD method for calculating parton distributions and provides detailed analysis including effects of gauge link smearing and renormalization considerations.
Findings
Encouraging results with Nf=2+1+1 twisted mass fermions
Analysis of gauge link smearing effects on operators
Methodological insights into matching and mass corrections
Abstract
We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using Nf = 2 + 1 + 1 twisted mass fermions with a pion mass of about 370 MeV. The focus of this work is a detailed description of the computation, including the lattice calculation, the matching to an infinite momentum and the nucleon mass correction. In addition, we test the effect of gauge link smearing in the operator to estimate the influence of the Wilson line renormalization, which is yet to be done.
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