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.

arXiv comment16 pages, 15 figures

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• FLAG Review 2019
• FLAG Review 2021
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• Semileptonic tau decays beyond the Standard Model
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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• On light vector mesons and chiral SU(3) extrapolations
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• Quark flavor physics and lattice QCD
• $f_K/f_{\pi }$ in iso-symmetric QCD and the CKM matrix unitarity
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants