TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.7.027
TI  - $\mathcal{O}(α_s^3)$ corrections to semileptonic $b \to c$ decays in the heavy daughter approximation
PY  - 2022/06/21
UR  - https://scipost.org/SciPostPhysProc.7.027
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 7
SP  - 027
A1  - Schoenwald, Kay
AB  - 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 $G_F$.
ER  -

@Article{10.21468/SciPostPhysProc.7.027,
	title={{$\mathcal{O}(α_s^3)$ corrections to semileptonic $b \to c$ decays in the heavy daughter approximation}},
	author={Kay Schoenwald},
	journal={SciPost Phys. Proc.},
	pages={027},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.7.027},
	url={https://scipost.org/10.21468/SciPostPhysProc.7.027},
}