Improving the precision of light quark mass determinations

TL;DR

This paper reviews the renormalization techniques used in lattice QCD to determine light quark masses, emphasizing the benefits of symmetric subtraction points for reducing uncertainties and infrared contamination.

Contribution

It introduces a symmetric subtraction point scheme in RI/SMOM for more accurate light quark mass calculations and compares its effectiveness to traditional methods.

Findings

Symmetric subtraction points reduce infrared contamination.

Next-to-leading order matching factors are more stable with symmetric schemes.

Improved precision in light quark mass determinations.

Abstract

We discuss the concepts and the framework of the renormalization procedure in regularization-invariant momentum subtraction schemes. These schemes are used in the context of lattice simulations for the determination of physical quantities like light quark masses. We focus on the renormalization procedure with a symmetric subtraction point of a quark mass and discuss its conversion from the RI/SMOM scheme to the MSbar scheme. A symmetric subtraction point allows for a lattice calculation with a reduced contamination from infrared effects. The perturbative series for the resulting matching factor at next-to-leading order is better behaved for the symmetric momentum configuration than for the exceptional one which can decrease the uncertainty in light quark mass determinations.