NNLO QCD corrections to the weak radiative B-meson decay with exact dependence on mc
Abstract
The inclusive weak radiative B-meson decay provides important constraints on many popular extensions of the Standard Model. Some of the numerically relevant Next-to-Next-to-Leading-Order QCD corrections to its branching ratio have so far been evaluated using an interpolation in the charm quark mass between the mc=0 and mc ≫ mb limits. In the current paper, we present their determination for the physical value of mc, which required calculating hundreds of four-loop propagator diagrams with unitarity cuts and two mass scales. Our final result for the CP- and isospin-averaged branching ratio reads ℬs γSM = (3.54 ± 0.14)× 10−4 for Eγ> 1.6 GeV in the decaying meson rest frame. It is in good agreement with the current Particle Data Group average ℬs γexp = (3.49 ± 0.19)× 10−4.
Related
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BibTeX
@misc{czaja2026nnlo,
title = {{NNLO QCD corrections to the weak radiative $B$-meson decay with exact dependence on $m_c$}},
author = {M. Czaja and M. Czakon and T. Huber and M. Misiak and M. Niggetiedt and A. Rehman and K. Schönwald and M. Steinhauser},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29864},
eprint = {2608.29864},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29864},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - NNLO QCD corrections to the weak radiative B-meson decay with exact dependence on m_c
AU - M. Czaja
AU - M. Czakon
AU - T. Huber
AU - M. Misiak
AU - M. Niggetiedt
AU - A. Rehman
AU - K. Schönwald
AU - M. Steinhauser
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29864
UR - https://arxiv.org/abs/2608.29864
AB - The inclusive weak radiative B-meson decay provides important constraints on many popular extensions of the Standard Model. Some of the numerically relevant Next-to-Next-to-Leading-Order QCD corrections to its branching ratio have so far been evaluated using an interpolation in the charm quark mass between the m_c=0 and m_c ≫ m_b limits. In the current paper, we present their determination for the physical value of m_c, which required calculating hundreds of four-loop propagator diagrams with unitarity cuts and two mass scales. Our final result for the CP- and isospin-averaged branching ratio reads ℬ_s γ^SM = (3.54 ± 0.14)× 10^−4 for E_γ> 1.6 GeV in the decaying meson rest frame. It is in good agreement with the current Particle Data Group average ℬ_s γ^exp = (3.49 ± 0.19)× 10^−4.
ER -