J. J. Torres

Radiative corrections to the Dalitz plot ofKl3±decays: Contribution of the four-body region

We calculate the radiative corrections to the Dalitz plot of K_{l3}^\pm decays to order (alpha/pi)(q/M_1), where q is the momentum transfer and M_1 is the mass of the kaon. We restrict the analysis to the so-called four-body region, which arises when no discrimination of real photons is made either kinematically or experimentally. We present our results in two ways: the first one with the triple integration over the photon kinematical variables ready to be performed numerically and the second one in a fully analytical form. Our results can be useful in experimental analyses of the Dalitz plot, by evaluating the model-independent coefficients of the quadratic products of the form factors; we provide some numbers as a case example. We find a small, albeit non-negligible, contribution from the four-body region to the radiative correction to the total decay rate of K_{l3}^\pm decays.

Radiative corrections to the Dalitz plot of K_{l3}^0 decays

We calculate the model-independent radiative corrections to the Dalitz plot of K{sub l3}{sup {+-}} decays to the order of ({alpha}/{pi})(q/M{sub 1}), where q is the momentum transfer and M{sub 1} is the mass of the kaon. The final results are presented, first, with the triple integration over the variables of the bremsstrahlung photon ready to be performed numerically and, second, in an analytical form. These two forms are useful to cross-check on one another and with other calculations. This paper is organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments and is not compromised to fixing the form factors at predetermined values. It is assumed that the real photons are kinematically discriminated. Otherwise, our results have a general model-independent applicability.

Radiative corrections to the semileptonic Dalitz plot with angular correlation between polarized decaying hyperons and emitted charged leptons

We obtain a model-independent expression for the Dalitz plot of semileptonic decays of polarized hyperons including radiative corrections to order alpha and neglecting terms of order (alpha q)/(pi M_1), where q is the four-momentum transfer and M_1 is the mass of the decaying hyperon. We specialize our results to exhibit the correlation between the charged-lepton momentum and the spin of the decaying hyperon. We present results for the three-body region of the Dalitz plot and for the complete Dalitz plot (which includes the four-body region). From these results we also obtain the corresponding radiative corrections to the integrated lepton spin-asymmetry coefficient. Our formulas are valid for charged as well as for neutral decaying hyperons and are appropriate for model-independent experimental analysis whether the real photon is discriminated or not.

Four-body Dalitz plot contribution to the radiative corrections in K l 3 0 decays and its role in the determination of | V u s |

The four-body contribution of the model-independent radiative corrections to the Dalitz plot of the semileptonic decays of neutral kaons are computed to order

Radiative corrections to the three-body region of the Dalitz plot of baryon semileptonic decays with angular correlation between polarized emitted baryons and charged leptons

(\ensuremath{\alpha}/\ensuremath{\pi})(q/{M}_{1})

Numerical precision radiative corrections to the Dalitz plot of light and heavy quark unpolarized baryon semileptonic decays: The cases Ξ → Σ+eν andΛ+c → Λe+ ν

, where

Numerical precision radiative corrections to the Dalitz plot of light and heavy quark unpolarized baryon semileptonic decays: The cases {xi}{sup 0}{yields}{sigma}{sup +}e{nu} and {lambda}{sub c}{sup +}{yields}{lambda}e{sup +}{nu}

q

Numerical precision radiative corrections to the Dalitz plot of light and heavy quark unpolarized baryon semileptonic decays. The cases Xi^0 \to Sigma^+ e \bar{\nu} and \Lambda_c^+ \to \Lambda e^+ \nu

is the momentum transfer and

Radiative corrections to all charge assignments of heavy quark baryon semileptonic decays

{M}_{1}

Precision radiative corrections to the semileptonic Dalitz plot with angular correlation between polarized decaying baryon and emitted charged lepton : Effects of the four-body region

is the kaon mass. The final result is presented in two forms. The first one is given in terms of the triple integration of the bremsstrahlung photon ready to be performed numerically; the second one is a fully analytical expression. This paper is organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments involving kaons and is not compromised to fixing the form factors at predetermined values. As a byproduct, gathering together three- and four-body contributions of radiative corrections yields, through a least-squares fit to the measured kaon decay rates, the value