# A Virtual Tribute to Quark Confinement and the Hadron Spectrum 2021

Aug 2 – 6, 2021
online
Europe/Brussels timezone

## Third order corrections to the semi-leptonic $b \to c$ decay

Aug 2, 2021, 5:00 PM
20m
online

#### online

Parallel contribution C: Heavy quarks

### Speaker

Kay Schoenwald (KIT)

### Description

In this talk we present our recent calculation of order $\alpha_s^3$ corrections to the semi-leptonic $b\to c$ decay.
The calculation has been performed in an expansion around the heavy-daughter limit $m_c \sim m_b$, but also shows decent convergence for $m_c=0$. For the semi-leptonic $b\to c$ decay we find large perturbative corrections in the on-shell scheme which can be significantly reduced by changing to the kinetic scheme for the heavy quark masses. These results will be important input for the inclusive determination of $|V_{cb}|$ and the Fermi coupling constant $G_F$ in the future.

### Presentation materials

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