Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-15
Phys.Rev.D76:034017,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 1 figure. Numerical analysis updated to include the recent Kl3 data. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.76.034017
The estimation of rare K decay matrix-elements from Kl3 experimental data is extended beyond LO in Chiral Perturbation Theory. Isospin-breaking effects at NLO (and partially NNLO) in the ChPT expansion, as well as QED radiative corrections are now accounted for. The analysis relies mainly on the cleanness of two specific ratios of form-factors, for which the theoretical control is excellent. As a result, the uncertainties on the K+ --> pi+ nu nubar and KL --> pi0 nu nubar matrix-elements are reduced by a factor of about 7 and 4, respectively, and similarly for the direct CP-violating contribution to KL --> pi0 l+ l-. They could be reduced even further with better experimental data for the Kl3 slopes and the K+l3 branching ratios. As a result, the non-parametric errors for B(K --> pi nu nubar) and for the direct CP-violating contributions to B(KL --> pi0 l+ l-) are now completely dominated by those on the short-distance physics.
Mescia Federico
Smith Christopher
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