Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum

Abstract

We investigate the kaon semileptonic decay (K_{l3}) form factors within the framework of the nonlocal chiral quark model from the instanton vacuum, taking into account the effects of flavor SU(3) symmetry breaking. We also consider the problem of gauge invariance arising from the momentum-dependent quark mass in the present work. All theoretical calculations are carried out without any adjustable parameter, the average instanton size (rho ~ 1/3 fm) and the inter-instanton distance (R ~ 1 fm) having been fixed. We also show that the present results satisfy the Callan-Treiman low-energy theorem as well as the Ademollo-Gatto theorem. Using the K_{l3} form factors, we evaluate relevant physical quantities. It turns out that the effects of flavor SU(3) symmetry breaking are essential in reproducing the kaon semileptonic form factors. The present results are in a good agreement with experiments, and are compatible with other model calculations.

arXiv comment12 pages, 3 figures, submitted to PRD

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• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Spin structure of the pion from the instanton vacuum
• Generalized form factors and spin structures of the kaon
• Scalar susceptibility from the instanton vacuum with meson-loop corrections
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Heavy baryon production with an instanton interaction
• Pion and kaon structures from the instanton vacuum
• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case