The kaon mass in 2+1+1 flavor twisted mass Wilson ChPT

TL;DR

This paper develops a chiral effective theory for 2+1+1 flavor lattice QCD with twisted mass Wilson fermions, focusing on the kaon mass calculation at 1-loop order, revealing unique chiral logarithms involving the neutral pion.

Contribution

It introduces a new effective theory assuming a heavy charm quark, extending previous models and computing the kaon mass with novel chiral logarithm features.

Findings

Derived a 1-loop kaon mass formula in the LCE regime.

Identified a unique chiral logarithm involving the neutral pion.

Extended the effective theory to include heavy charm quark assumptions.

Abstract

We construct the chiral low-energy effective theory for 2+1+1 flavor lattice QCD with twisted mass Wilson fermions. In contrast to existing results we assume a heavy charm quark mass such that the D mesons are too heavy to appear as degrees of freedom in the effective theory. As an application we compute the kaon mass to 1-loop order in the LCE regime. The result contains a chiral logarithm involving the neutral pion mass which has no analogue in continuum ChPT.