Flavour breaking effects in the pseudoscalar meson decay constants

Abstract

The SU(3) flavour symmetry breaking expansion in up, down and strange quark masses is extended from hadron masses to meson decay constants. This allows a determination of the ratio of kaon to pion decay constants in QCD. Furthermore when using partially quenched valence quarks the expansion is such that SU(2) isospin breaking effects can also be determined. It is found that the lowest order SU(3) flavour symmetry breaking expansion (or Gell-Mann-Okubo expansion) works very well. Simulations are performed for 2+1 flavours of clover fermions at four lattice spacings.

16 pages, 15 figures

References in corpus (6)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• QED Corrections to Hadronic Processes in Lattice QCD
• The ratio FK/Fpi in QCD
• Non-perturbative improvement of stout-smeared three flavour clover fermions
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices

Cited by in corpus (2)

• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$