Matching chiral perturbation theory and the dispersive representation of the scalar Kπ form factor
Abstract
We perform a matching of the two loop-chiral perturbation theory representation of the scalar Kπ form factor to a dispersive one. Knowing the value of FK /Fπ 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 /Fπ, f+ (0), a certain combination of non-standard couplings, the deviation of the Callan-Treiman theorem and the two O (p6) LECs.
- Publication:
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Physics Letters B
- Pub Date:
- March 2008
- DOI:
- arXiv:
- arXiv:0711.3450
- Bibcode:
- 2008PhLB..661...95B
- Keywords:
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- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment;
- High Energy Physics - Lattice;
- Nuclear Experiment;
- Nuclear Theory
- E-Print:
- 13 pages, 1 figure, typos corrected, discussion slightly extended, accepted for publication in Phys. Lett. B
