Pion physics on the lattice

TL;DR

This paper reviews recent lattice QCD results on pion physics, focusing on quark mass effects, chiral perturbation theory convergence, and pion form factors in full QCD simulations.

Contribution

It provides a comprehensive comparison of lattice QCD results with chiral perturbation theory and examines pion form factors in recent simulations.

Findings

Quark mass dependence of pion mass and decay constant matches chiral predictions

Chiral perturbation theory converges well around the strange quark mass region

Pion form factors show consistent quark mass and momentum dependences in full QCD simulations

Abstract

Recent results on pion physics from lattice QCD are reviewed. We discuss quark mass dependences of pion mass and decay constant and compare them with the predictions from chiral perturbation theory. In particular we focus on the convergence of chiral perturbation theory around strange quark mass region. We also consider quark mass as well as momentum dependences of pion form factors in recent full QCD simulations.