An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory
Ananthanarayan, B. ; Bijnens, Johan LU
and Ghosh, Shayan
(2017)
In European Physical Journal C
77(7).
- 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 Fπ and Mπ2 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... (More)
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 Fπ and Mπ2 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.
(Less)
- author
- Ananthanarayan, B.
; Bijnens, Johan
LU
and Ghosh, Shayan
- organization
- publishing date
- 2017-07-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- European Physical Journal C
- volume
- 77
- issue
- 7
- article number
- 497
- publisher
- Springer
- external identifiers
-
- wos:000406425400001
- pmid:28943799
- scopus:85026675596
- ISSN
- 1434-6044
- DOI
- 10.1140/epjc/s10052-017-5019-y
- language
- English
- LU publication?
- yes
- id
- 5d190fb0-9ecf-4c22-ac7d-dd06b5490482
- date added to LUP
- 2017-08-31 15:18:07
- date last changed
- 2025-01-07 19:45:51
@article{5d190fb0-9ecf-4c22-ac7d-dd06b5490482,
abstract = {{<p>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<sub>π</sub> and Mπ2 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.</p>}},
author = {{Ananthanarayan, B. and Bijnens, Johan and Ghosh, Shayan}},
issn = {{1434-6044}},
language = {{eng}},
month = {{07}},
number = {{7}},
publisher = {{Springer}},
series = {{European Physical Journal C}},
title = {{An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory}},
url = {{http://dx.doi.org/10.1140/epjc/s10052-017-5019-y}},
doi = {{10.1140/epjc/s10052-017-5019-y}},
volume = {{77}},
year = {{2017}},
}