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

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

2007-11-21

arxiv.org/abs/0711.3450v2

Phys.Lett.B661:95-102,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2008.02.004

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.

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