Finite $ma$ corrections for sea quark matrix elements on the lattice

TL;DR

This paper calculates the mass-dependent corrections to lattice renormalization factors for sea quark matrix elements, revealing significant differences from valence quark corrections and highlighting their dependence on current structure.

Contribution

It provides the first detailed computation of $ma$ corrections for sea quarks, showing they are larger and more structure-dependent than previously assumed.

Findings

Sea quark correction factors are generally larger than valence quark estimates.

Corrections depend strongly on the Lorentz structure of the current.

Results differ between Wilson and improved actions.

Abstract

We compute the $ma$ dependence of lattice renormalization factors for sea quark matrix elements. The results differ from the $(1+ma)$ correction factor commonly used for valence quarks and connected current insertions. We find that for sea quarks, the correction factors are in general larger and depend strongly on the Lorentz structure of the current under consideration. Results are presented both for the Wilson action and for the 2-link improved action of Hamber and Wu. Phenomenological implications are also briefly discussed in two examples.