Kaon electroweak form factors in the light-front quark model

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, 6figures, modified Sec.III and added an appendix, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.034001

We investigate the form factors and decay rates for the semileptonic decays of the kaon($K_{l3})$ using the light-front quark model. The form factors $f_{\pm}(q^{2})$ are calculated in $q^{+}=0$ frame and analytically continued to the time-like region, $q^{2}>0$. Our numerical results for the physical observables, $f_{-}/f_{+}|_{q^{2}=m^{2}_{l}}=-0.38$, $\lambda_{+}=0.025$(the slope of $f_{+}$ at $q^{2}=m^{2}_{l}$), $\Gamma(K^{0}_{e3})=(7.30\pm 0.12)\times10^{6}s^{-1}$, and $\Gamma(K^{0}_{\mu3})=(4.57\pm0.07)\times10^{6}s^{-1}$ are quite comparable with the experimental data and other theoretical model calculations. The non-valence contributions from $q^{+}\neq 0$ frame are also estimated.

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