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Three-loop QCD corrections to heavy-to-light form factors and applications to inclusive B decays
Abstract
We report on the calculation of heavy-to-light form factors at 𝒪(αs3) and on selected phenomenological applications in inclusive B-decays. After outlining the loop calculation, we extract the hard function in B̅ → Xs γ, and discuss our recent progress and preliminary results for the N3LO corrections to partial decay rates in B̅ → Xu l ν̅l, important for the inclusive determination of |Vub|. In particular, we establish relations for heavy-quark parameters in the shape-function scheme to four loops and improve a particular model of the B meson shape-function.
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BibTeX
@misc{fael2026threeloop,
title = {{Three-loop QCD corrections to heavy-to-light form factors and applications to inclusive $B$ decays}},
author = {Matteo Fael and Tobias Huber and Fabian Lange and Jakob Müller and Kay Schönwald and Matthias Steinhauser},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28172},
eprint = {2608.28172},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28172},
}
RIS
TY - UNPB
TI - Three-loop QCD corrections to heavy-to-light form factors and applications to inclusive B decays
AU - Matteo Fael
AU - Tobias Huber
AU - Fabian Lange
AU - Jakob Müller
AU - Kay Schönwald
AU - Matthias Steinhauser
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28172
UR - https://arxiv.org/abs/2608.28172
AB - We report on the calculation of heavy-to-light form factors at 𝒪(α_s^3) and on selected phenomenological applications in inclusive B-decays. After outlining the loop calculation, we extract the hard function in B̅ → X_s γ, and discuss our recent progress and preliminary results for the N^3LO corrections to partial decay rates in B̅ → X_u l ν̅_l, important for the inclusive determination of |V_ub|. In particular, we establish relations for heavy-quark parameters in the shape-function scheme to four loops and improve a particular model of the B meson shape-function.
ER -