Moments of meson distribution functions with dynamical twisted mass fermions

TL;DR

This paper reports preliminary lattice QCD results for the lowest moment of pion quark distribution functions using dynamical twisted mass fermions, demonstrating low statistical errors and analyzing finite volume effects.

Contribution

It introduces a novel calculation of pion distribution moments with dynamical twisted mass fermions and examines finite volume effects at different lattice sizes.

Findings

Achieved statistical errors of a few percent.

Analyzed finite volume effects at the lowest quark mass.

Plan to extend to nucleons and multiple lattice spacings.

Abstract

We present our preliminary results on the lowest moment <x> of quark distribution functions of the pion using two flavor dynamical simulations with Wilson twisted mass fermions at maximal twist. The calculation is done in a range of pion masses from 300 to 500 MeV. A stochastic source method is used to reduce inversions in calculating propagators. Finite volume effects at the lowest quark mass are examined by using two different lattice volumes. Our results show that we achieve statistical errors of only a few percent. We plan to compute renormalization constants non-perturbatively and extend the calculation to two more lattice spacings and to the nucleons.