Integrating out the heaviest quark in N--flavour ChPT

TL;DR

This paper generalizes a method to integrate out the heaviest quark in N-flavour chiral perturbation theory, providing explicit one-loop formulas for how heavy quark masses influence low energy constants as the number of flavours decreases.

Contribution

It extends existing techniques to an arbitrary number of flavours and derives explicit one-loop formulas for heavy quark mass dependence in chiral perturbation theory.

Findings

Derived explicit one-loop formulas for low energy constants.

Generalized the method to any number of flavours.

Provided practical formulas for integrating out the heaviest quark.

Abstract

We extend a known method to integrate out the strange quark in three flavour chiral perturbation theory to the context of an arbitrary number of flavours. As an application, we present the explicit formulae to one--loop accuracy for the heavy quark mass dependency of the low energy constants after decreasing the number of flavours by one while integrating out the heaviest quark in N--flavour chiral perturbation theory.