Radiative Corrections to pi_{l2} and K_{l2} Decays

Details Radiative Corrections to pi_{l2} and K_{l2} Decays Radiative Corrections to pi_{l2} and K_{l2} Decays

1995-05-31

arxiv.org/abs/hep-ph/9505434v1

Phys.Lett.B387:391-394,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, Latex, uses a4wide, rotating, epsfig. 2 Figures not included, available on request. To be published in the Proceeding

Scientific paper

10.1016/0370-2693(96)01030-1

We report on our reexamination of the radiative corrections to $\pi_{l2}$ and $K_{l2}$ decays. We perform a matching calculation, using a specific model with vector meson dominance in the long distance part and the parton model in the short distance part. By considering the dependence on the matching scale and on the hadronic parameters, and by comparing with model independent estimates, we scrutinize the model dependence of the results. For the pseudoscalar meson decay constants, we extract the values $f_\pi = (92.1 \pm 0.3)\,\mbox{MeV}$ and $f_K = (112.4 \pm 0.9) \, \mbox{MeV}$. For the ratios $R_\pi$ and $R_K$ of the electronic and muonic decay modes, we predict $R_\pi = (1.2354 \pm 0.0002) \cdot 10^{-4}$ and $R_K = (2.472 \pm 0.001) \cdot 10^{-5}$.

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