Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor

Abstract

We perform a matching of the two loop-chiral perturbation theory representation of the scalar Kpi form factor to a dispersive one. Knowing the value of F_K/F_pi and f_+(0) in the Standard Model (SM) allows to determine two O(p^6) LECs, the slope of the scalar form factor and the deviation of the Callan-Treiman theorem. Going beyond the SM and assuming the knowledge of the slope of the scalar form factor from experiment, the matching allows us to determine the ratio of F_K/F_pi, f_+(0), a certain combination of non-standard couplings, the deviation of the Callan-Treiman theorem and the two O(p^6) LECs.

13 pages, 1 figure, typos corrected, discussion slightly extended, accepted for publication in Phys. Lett. B

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• Chiral Perturbation Theory and Baryon Properties
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Scalar K pi form factor and light quark masses
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