O(α_s³) corrections to semileptonic b → c decays in the heavy daughter approximation

2021/10/22 by Kay Schönwald, Schönwald, Kay
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2110.11979

openalex publication_date 2021/10/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We present our recent calculation of the third order corrections to the semileptonic b → c and the muon decays. The calculation has been performed in an expansion around the limit m_c ∼ 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 → 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.

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