Eur. Phys. J. C (2011) 71: 1732
https://doi.org/10.1140/epjc/s10052-011-1732-0

Regular Article - Theoretical Physics

Integrating out the heaviest quark in N-flavour χPT

¹ Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia
² Basler Versicherungen, Aeschengraben 21, 4002, Basel, Switzerland

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 4 July 2011
Published online: 3 September 2011

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 formulæ 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.