Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching

Understand

We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework.

• We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension.
• In the lattice simulation, we use a Gaussian-momentum-smeared source at $M_\pi=356$ MeV and $P_z \in \{1.8,2.3\}$ GeV.
• To control the systematics associated with the excited states, we explore {five different source-sink separations}.