Radiative Corrections to K^0_{l3} Decays

Abstract

We calculate the long-distance radiative corrections δ^e_{LD} and δ^μ_{LD} to the K^0 -> π^- e^+ ν_e and the K^0 -> pi^- μ^+ ν_μ decay rates. This analysis includes contributions to the long-distance radiative corrections from outside the kinematically-allowed three-body Dalitz region and tests the sensitivity of the radiative corrections to the hadronic K-pi form factors. A program, KLOR, was written to numerically evaluate the radiative corrections and to generate Monte Carlo events for experimental acceptance studies. The K^0_{e3} and the K^0_{μ3} long-distance radiative correction parameters are determined to be (1.3 +/- 0.3)% and (1.9 +/- 0.3)%, respectively. We also present predictions for the fraction of radiative K^0_{l3} events satisfying various requirements on final-state photon kinematics.

Accepted in Annals of Physics; 16 pages, 8 figures; v3 contains minor text changes

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Cited by in corpus (19)

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• Experiments with K-Meson Decays
• Determination of the Form Factors for the Decay B0 -> D*- l+ nu_l and of the CKM Matrix Element |V_cb|
• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
• Measurement of the $D^0\to {\pi }^{-}{e}^{+}{\nu }_e$ differential decay branching fraction as a function of $q^2$ and study of form factor parameterizations
• Simultaneous Extraction of the Fermi constant and PMNS matrix elements in the presence of a fourth generation
• A Study of the Semileptonic Charm Decays D^0 --> pi^- e^+ nu_e, D^+ --> pi^0 e^+ nu_e, D^0 --> K^- e^+ nu_e, and D^+ --> barK^0 e^+ nu_e
• High-precision determination of the $K_{e3}$ radiative corrections
• Soft Photon Problem in Leptonic B-decays
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Dispersive analysis of K_{L mu3} and K_{L e3} scalar and vector form factors using KTeV data
• Radiative Ke3 decays revisited
• Measurement of the branching fraction for the decay $K_S\to \pi \mu \nu$ with the KLOE detector
• A Study of the Decays D^0 --> pi^- e^+ nu_e, D^0 --> K^- e^+ nu_e, D^+ --> pi^0 e^+ nu_e, and D^+ --> barK^0 e^+ nu_e
• Radiative corrections to the Dalitz plot of K_{l3}^\pm decays
• Quark mixing and CP violation - the CKM matrix
• Radiative corrections of $O(\alpha )$ to $B^{-}\to V^0{\ell }^{-}{\bar{\nu }}_{\ell }$ decays