QED effects in inclusive semi-leptonic B decays

Abstract

We analyse in detail the QED corrections to the total decay width and the moments of the electron energy spectrum of the inclusive semi-leptonic B → Xceν decay. Our calculation includes short-distance electroweak corrections, the complete 𝒪(α) partonic terms and leading-logarithmic QED effects up to $$ \mathcal{O}\left({\Lambda}_{\textrm{QCD}}^3/{m}_b^3\right) $$ O Λ QCD 3 / m b 3 . A comprehensive numerical comparison of our results against those obtained with the Monte Carlo (MC) tool PHOTOS is presented. While the comparison indicates good overall agreement, our computation contains QED effects not included in PHOTOS and should therefore better describe photon radiation to B → Xceν as measured by the B-factories. Our calculations represent the first steps in the construction of a fully differential higher-order QED MC generator for inclusive semi-leptonic B decays.

Structure-dependent QED effects in exclusive B-meson decays

“…In anticipation of the high-precision measurements from LHCb and BELLE II, the investigation of electromagnetic effects in B -meson decays has become an active research field in recent years (besides the articles which have already been mentioned in the main text, more examples can be found in Refs. [55][56][57][58][59][60][61][62][63][64][65]). In this review, we have summarized recent developments in the calculation of structure-dependent QED corrections to exclusive B -meson decays with effective field theory methods.…”