arXiv:2110.11979·v1·High Energy Physics — Phenomenology

$O (α_{s}^{3})$ corrections to semileptonic $b \to c$ decays in the heavy daughter approximation

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 $∣ V_{c b} ∣$ and the Fermi coupling constant $G_{F}$ .

Comments: 9 pages, 3 figures. Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)

O(αs3​) corrections to semileptonic b→c decays in the heavy daughter approximation

Abstract

$O (α_{s}^{3})$ corrections to semileptonic $b \to c$ decays in the heavy daughter approximation