Erratum: Radiative corrections to the Dalitz plot ofKl3±decays [Phys. Rev. D83, 054004 (2011)]

Radiative corrections of $$O(\alpha )$$ O ( α ) to $$B^{-} \rightarrow V^{0} \ell ^{-} \bar{\nu }_{\ell }$$ B - → V 0 ℓ - ν ¯ ℓ decays

“…[74] (15)- (16). Each of these corrections are found to contribute at the per mille level, as was noticed in K 3 decays [51,[53][54][55], but the relative sign between them makes the final result even smaller. 3.…”

“…A first calculation in the case of B → P ν transitions was made by incorporating the resummation of real soft-photon emission and virtual corrections [42]. Other work [43,44] follows an approach similar to the ones adopted in analogous kaon semileptonic decays [47][48][49][50][51][52][53][54][55]. An important limitation in the attempts to compute those radiative corrections has to do with the poor knowledge of the photon-meson interactions at wavelength in the transition between the long-and short-distance regimes.…”

“…The modeldependent part is encoded in T μλ , where gauge invariance requires k μ T μλ = 0, which can be verified by applying the generalized Ward identity. This model-dependent contribution can be included in a re-definition of the hadronic form factors as done for instance in [52][53][54][55]65] or evaluated explicitly as in Ref. [56] in a given model.…”

“…The LD corrections include contributions from three-and four-body regions, which partially cancel each other For completeness, we provide also the evaluations of the LD radiative corrections to the Dalitz plot distribution. These corrections can be useful for experimental studies aiming a precise extraction of the weak form factors [47][48][49][52][53][54][55] which focus in the three-body region of the phase space. For this purpose, we re-write Eq.…”

Electromagnetic corrections in hadronic τ decay

“…The aim of this technique is to procure an electromagnetic correction, evaluated once and for all which is gauge invariant, free of UV singularities and contains the dominant logarithms that come from the infrared singularity cancellation. The MI technique has been applied in the analysis of the electromagnetic corrections to the Dalitz Plot of semileptonic decays of hyperons [21], in the calculation of radiative correction to leptonic decays of pseudoscalar meson [22] and also recentely a radiative corrections analysis to the Dalitz plot of the K l3 decay [23]. It is worth to mention that authors in [23] have quoted that their result in K l3 has been compared with the universal electromagnetic correction given in [19] with a very small quantitative difference.…”