Search: (WFRF:(Achite Mohammed)) >
Analytic representa...
Analytic representations of mK, FK, mη, and Fη in two loop SU (3) chiral perturbation theory
-
- Ananthanarayan, B. (author)
- Indian Institute of Science
-
- Bijnens, Johan (author)
- Lund University,Lunds universitet,Teoretisk partikelfysik - Geonomgår omorganisation,Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation,Naturvetenskapliga fakulteten,Theoretical Particle Physics - Undergoing reorganization,Department of Astronomy and Theoretical Physics - Undergoing reorganization,Faculty of Science
-
- Friot, Samuel (author)
- Claude Bernard University Lyon 1,Institut de Physique Nucléaire Orsay (IPN) Orsay
-
show more...
-
- Ghosh, Shayan (author)
- Indian Institute of Science
-
show less...
-
(creator_code:org_t)
- 2018
- 2018
- English.
-
In: Physical Review D. - 2470-0010. ; 97:11
- Related links:
-
http://dx.doi.org/10... (free)
-
show more...
-
https://lup.lub.lu.s...
-
https://doi.org/10.1...
-
show less...
Abstract
Subject headings
Close
- In this work, we consider expressions for the masses and decay constants of the pseudoscalar mesons in SU(3) chiral perturbation theory. These involve sunset diagrams and their derivatives evaluated at p2=mP2 (P=π, K, η). Recalling that there are three mass scales in this theory, mπ, mK and mη, there are instances when the finite part of the sunset diagrams do not admit an expression in terms of elementary functions, and have therefore been evaluated numerically in the past. In a recent publication, an expansion in the external momentum was performed to obtain approximate analytic expressions for mπ and Fπ, the pion mass and decay constant. We provide fully analytic exact expressions for mK and mη, the kaon and eta masses, and FK and Fη, the kaon and eta decay constants. These expressions, calculated using Mellin-Barnes methods, are in the form of double series in terms of two mass ratios. A numerical analysis of the results to evaluate the relative size of contributions coming from loops, chiral logarithms as well as phenomenological low-energy constants is presented. We also present a set of approximate analytic expressions for mK, FK, mη and Fη that facilitate comparisons with lattice results. Finally, we show how exact analytic expressions for mπ and Fπ may be obtained, the latter having been used in conjunction with the results for FK to produce a recently published analytic representation of FK/Fπ.
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Publication and Content Type
- art (subject category)
- ref (subject category)
Find in a library
To the university's database