On pion and kaon decay constants and their chiral SU(3) extrapolations

We consider the dependence of the pion and kaon decay constants on the up, down and strange quark masses in QCD with strict isospin symmetry. The role of dynamical vector meson degrees of freedom is scrutinized in terms of an effective chiral Lagrangian for vector mesons. Applying a set of low-energ...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. A 2019-08, Vol.988, p.36-47
Main Authors: Guo, Xiao-Yu, Lutz, M.F.M.
Format: Article
Language:English
Subjects:
Chiral symmetry
Effective field theory
Lattice QCD
Vector mesons
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the dependence of the pion and kaon decay constants on the up, down and strange quark masses in QCD with strict isospin symmetry. The role of dynamical vector meson degrees of freedom is scrutinized in terms of an effective chiral Lagrangian for vector mesons. Applying a set of low-energy parameters as determined previously from QCD lattice data on the masses of the light vector mesons from PACS-CS, QCDSF-UKQCD and HSC we compute its implications on the pion and kaon decay constants for QCD lattice ensembles of HPQCD, CLS and ETMC. It is shown that with Gasser-Leutwyler L4 and L5 parameters fixed to the empirical decay constants an accurate reproduction of their values at unphysical quark masses as computed by HPQCD, CLS and ETMC is achieved. Results for the masses of the light vector meson, the ω−ϕ mixing angles and the quark mass ratios for the ensembles used by HPQCD, CLS and ETMC are discussed.
ISSN:0375-9474
DOI:10.1016/j.nuclphysa.2019.04.001