Radiative Corrections to Kℓ30 Decays

The long-distance radiative corrections δLDe and δLDμ to the K0→π−e+νe and the K0→π−μ+νμ decay rates are calculated. 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−π form factors. A program, KLOR, was written to numerically evaluate the radiative corrections and to generate Monte Carlo events for experimental acceptance studies. The Ke30 and the Kμ30 long-distance radiative correction parameters are determined to be (1.3 ± 0.3)% and (1.9 ± 0.3)%, respectively.