Flavour breaking effects in the pseudoscalar meson decay constants
V.G. Bornyakov, R. Horsley, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L., Rakow, G. Schierholz, A. Schiller, H. St\"uben, J.M. Zanotti
TL;DR
This paper extends the SU(3) flavour symmetry breaking expansion to meson decay constants, enabling precise determination of kaon to pion decay constant ratios and isospin breaking effects using lattice QCD simulations.
Contribution
It introduces an extension of the flavour symmetry breaking expansion to meson decay constants, including isospin breaking effects, validated through lattice QCD simulations.
Findings
SU(3) breaking expansion accurately predicts decay constant ratios
The lowest order expansion works very well
Simulations performed at four lattice spacings
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.
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