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 FK/Fpi and f+(0) in the Standard Model (SM) allows to determine two O(p6) 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 FK/Fpi, f+(0), a certain combination of non-standard couplings, the deviation of the Callan-Treiman theorem and the two O(p6) LECs.
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