A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications

TL;DR

This paper investigates the non-perturbative tuning of the chirally rotated Schrödinger functional, analyzes cutoff effects, and applies the framework to compute the renormalized strange quark mass, demonstrating its practical utility.

Contribution

It provides a detailed non-perturbative tuning procedure for the chirally rotated Schrödinger functional and applies it to compute physical quantities like the strange quark mass.

Findings

Residual O(a) cutoff effects are analyzed and minimized.

Renormalization factors at the matching scale are computed.

The renormalized strange quark mass is successfully determined.

Abstract

In a previous paper [1], we have discussed the non-perturbative tuning of the chirally rotated Schroedinger functional (XSF). This tuning is required to eliminate bulk O(a) cutoff effects in physical correlation functions. Using our tuning results obtained in [1] we perform scaling and universality tests analyzing the residual O(a) cutoff effects of several step-scaling functions and we compute renormalization factors at the matching scale. As an example of possible application of the XSF we compute the renormalized strange quark mass using large volume data obtained from Wilson twisted mass fermions at maximal twist.