Chiral Effective Lagrangian and Quark Masses

TL;DR

This paper reviews lattice determinations of quark masses, discusses extracting low-energy constants in chiral Lagrangians, and addresses quenched chiral logarithms, focusing on implications for the massless up-quark hypothesis.

Contribution

It provides an overview of lattice quark mass measurements and explores methods to determine low-energy constants relevant to chiral symmetry breaking.

Findings

Lattice determinations of quark masses are summarized.

Methods for extracting low-energy constants are discussed.

The role of quenched chiral logarithms in these analyses is examined.

Abstract

The status of lattice determinations of quark masses is reviewed (with the exception of m_b). Attempts to extract the low-energy constants in the effective chiral Lagrangian are discussed, with special emphasis on those couplings which are required to test the hypothesis of a massless up-quark. Furthermore, the issue of quenched chiral logarithms is addressed.