$F_K/F_\pi$ as a precision test of a new four flavor Domain Wall Fermion action

TL;DR

This paper introduces a new lattice QCD setup with four flavors of smeared M"obius Domain Wall Fermions, enabling precise calculations of hadronic observables like $F_{K^{\

Contribution

It presents a new four-flavor Domain Wall Fermion action and demonstrates its effectiveness through precise $F_{K^{\

Findings

Generated 30 ensembles across five lattice spacings.

Measured $F_{K^{\

measured_value”:”1.1962(34)”]},

Abstract

We present a new set of lattice QCD ensembles with four flavors of smeared M\"obius Domain Wall Fermions with good chiral symmetry and small fifth-dimensional extent. A modest amount of computing resources was sufficient to generate 30 publicly-available ensembles spanning five lattice spacings and a broad range of pion masses down to physical. To scrutinize our action we determine $F_{K^{\pm}}/F_{\pi^{\pm}} = 1.1962(34)$, a key quantity for precision CKM unitarity tests, heralding a future of inexpensive high-precision calculations of hadronic observables with chiral fermions.