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 decay. Our calculation includes short-distance electroweak corrections, the complete partonic terms and leading-logarithmic QED effects up to . 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 as measured by the -factories. Our calculations represent the first steps in the construction of a fully differential higher-order QED MC generator for inclusive semi-leptonic decays.
Keywords
Cite
@article{arxiv.2309.02849,
title = {QED effects in inclusive semi-leptonic $B$ decays},
author = {Dante Bigi and Marzia Bordone and Paolo Gambino and Ulrich Haisch and Andrea Piccione},
journal= {arXiv preprint arXiv:2309.02849},
year = {2025}
}
Comments
40 pages, 8 figures and 3 tables; v3: mistake in the calculation of threshold corrections in the total decay width corrected. We thank Gael Finauri for identifying the incorrect overall factor in (3.3) in the original version of our work. Numerical results unchanged