An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory

Ananthanarayan, B and Bijnens, Johan and Ghosh, Shayan (2017) An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory. In: EUROPEAN PHYSICAL JOURNAL C, 77 (7).

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Abstract

A representation of the two-loop contribution to the pion decay constant in SU (3) chiral perturbation theory is presented. The result is analytic up to the contribution of the three (different) mass sunset integrals, for which an expansion in their external momentum has been taken. We also give an analytic expression for the two-loop contribution to the pion mass based on a renormalized representation and in terms of the physical eta mass. We find an expansion of F pi and M-pi(2) in the strange-quark mass in the isospin limit, and we perform the matching of the chiral SU (2) and SU (3) low-energy constants. A numerical analysis demonstrates the high accuracy of our representation, and the strong dependence of the pion decay constant upon the values of the low-energy constants, especially in the chiral limit. Finally, we present a simplified representation that is particularly suitable for fitting with available lattice data.

Item Type:	Journal Article
Publication:	EUROPEAN PHYSICAL JOURNAL C
Additional Information:	Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	16 Aug 2017 06:31
Last Modified:	16 Aug 2017 06:31
URI:	http://eprints.iisc.ac.in/id/eprint/57640

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