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$\mathcal{O}(α_s^3)$ corrections to semileptonic $b \to c$ decays in the heavy daughter approximation
by Kay Schoenwald
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Submission summary
| Authors (as registered SciPost users): | Kay Schoenwald |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2110.11979v1 (pdf) |
| Date accepted: | 2021-12-08 |
| Date submitted: | 2021-10-26 08:36 |
| Submitted by: | Schoenwald, Kay |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021) |
| Ontological classification | |
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| Academic field: | Physics |
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Abstract
We present our recent calculation of the third order corrections to the semileptonic $b \to c$ and the muon decays. The calculation has been performed in an expansion around the limit $m_c \sim m_b$, but shows decent convergence even for $m_c=0$ from which the contribution to the muon decay can be extracted. For the semileptonic $b \to c$ decay we find large perturbative corrections in the on-shell scheme which can be significantly reduced by changing to the kinetic scheme for the bottom quark mass. These results are important input for the inclusive determination of $|V_{cb}|$ and the Fermi coupling constant $G_F$.
Published as SciPost Phys. Proc. 7, 027 (2022)
Reports on this Submission
Strengths
The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.
Weaknesses
None.
Report
The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.
Requested changes
None.