Recent progress in staggered chiral perturbation theory

TL;DR

This paper reviews recent advancements in staggered chiral perturbation theory, highlighting its expanded role in high-precision data analysis for lattice QCD calculations involving improved staggered fermions.

Contribution

It summarizes recent progress and future prospects of SChPT, emphasizing its application beyond calibration to precise predictions in lattice QCD.

Findings

Enhanced understanding of pion spectrum and decay constants.

Improved analysis of $ ext{ε}_K$ and $ ext{π-π}$ scattering amplitudes.

SChPT's vital role in reliable data analysis for physical observables.

Abstract

We present a review on recent progress in staggered chiral perturbation theory (SChPT). In the last decade, the scope of the application of SChPT has been extended beyond the level of calibration into the region of prediction with high precision. SChPT becomes an essential tool to do the data analysis reliably for physical observables calculated using improved staggered fermions. Here, we focus on the following examples: pion spectrum, pion decay constants, $\varepsilon_K$, and $\pi-\pi$ scattering amplitudes. In each subject, we review the recent progress and future prospects.