The theory of the order-a radiative correction to the B decay of baryons is briefly reviewed. An effective procedure for the calculation of the real-photonic part of the order-a correction is outlined. Numerical results are tabulated for the radiative corrections to the branching ratio, the electron-antineutrino correlation parameter, the electron-energy (E,) spectrum, the final-baryonenergy (El) spectrum, and the electron-antineutrino angular-correlation (case,,) distribution, and to the (E,,El) and the (E,,cosQ,,.) two-variable distributions in the cases of the decays B --n e v , Z -+ A e G , ZP-.AeV, and A + p e v .
The "model independent" part of the order a radiative correction due to virtual photon exchanges and inner bremsstrahlung is studied for semileptonic decays of hyperons. Numerical results of high accuracy are given for the rela tive correction to the branching ratio, the electron energy spectrum and the (Ee ,Ef) Dalitz distribution in case of four different decays: I" •> n e v , l~-* ■ Aev,-* • Aev and Л-* • pev. АННОТАЦИЯ Изучена "независимая от модели" часть радиационных поправок в порядке а, которая соответствует обмену виртуальных фотонов и тормозного излучения. Для распадов Е-*nev, £-* ■ Aev, = Aev и Л-* • pev получены точные численные резуль таты для поправок к "branching ratio", спектру энергии электронов и диаграмме Далица (Е£ , E f). KIVONAT A virtuális foton csere és fékezési sugárzás következtében fellépő a ren di! sugárzási korrekciók "modell független" részét tanulmányozzuk hyperonok szemileptonos bomlásaiban. Nagy pontosságú numerikus eredményeket adunk a l~-* ■ nev, l~ ■ * Aev, =" ■ + r^eV és A ■ + pev bomlások esetén az elágazási arány, az elektron energia spektrum és az (Ee ,Ef) Dalitz eloszlás relativ korrekci óira .
Recently we developed a Monte Carlo-type program for the numerical integration of one-photon bremsstrahlung final states ͓1͔. In order to check this program we recalculated the numbers we published in 11 Tables of Ref. ͓2͔ for baryon semileptonic decays. In most cases we found convincing agreement, but, unfortunately, we also found exceptions in the cases of Table VI ͑first three lines referring to the decays ͚ Ϫ →ne, ͚ Ϫ →⌳e, ⌶ Ϫ →⌳e͒ and of Table X ͑in the last two lines referring to the decays ⌳→pe, n→pe, the coefficients of f 1 2 and g 1 2 ͒. In order to resolve this discrepancy we reconstructed our earlier program, which was based upon a mixed, analytical and numerical method for the integration of bremsstrahlung events. By means of this program we could perfectly reproduce the numbers we published in Tables I-XI of Ref. ͓2͔, let alone the ominous parts of Tables VI and X. In these cases we found complete agreement with the results obtained by means of the recently developed Monte Carlo program. This convinces us that the new numbers are correct, therefore we present here these two tables after the necessary corrections.In our effort to follow up the origin of this error we could not find anything that could be a direct explanation. As our late calculation is now available only in the form of building blocks ͑subroutines, etc.͒, we cannot say that an error in the original program is excluded. We think, nevertheless, that, most probably, a confusion of results happened, which were obtained in some intermediate stage of our work.
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