The decays $τ\rightarrow (K, K(1460))ν_τ$ and the value of the weak decay coefficients ${F}_{K}$ and ${{F}_{{K}^{'}}}$ in the extended NJL model

Abstract

In the extended NJL model, the decay widths of τ → (K, K(1460))ντ , (K, K(1460)) → µνµ are calculated. The contributions from intermediate axial-vector mesons K1(1270), K1(1400) and the first radially excited state K1(1650) are taken into account. Estimates for the weak decay coefficients FK and F K are given. Predictions are made for the width of τ → K(1460)ντ decay and F K constant.

Pseudoscalar Meson Mixing, the Contribution of the Hadronic Continuum to Deviation from Factorization

“…Theoretical calculations of the weak decay constants f K and f π are of great interest. This has been done recently in the context of the extended Nambu-Jona-Lasinio model [8], using an improved holographic wave function [9] in the light-front quark model [10] or on lattice calculations [11].…”