Heavy-to-heavy quark decays at next-to-next-to-leading order

2008/08/26 by Alexey Pak, Andrzej Czarnecki
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.78.114015

published as Phys.Rev.D78:114015,2008 · 11 pages

arxiv created 2008/08/26 · openalex publication_date 2008/12/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Details of a recent calculation of O(\ensuremathα_s²) corrections to the decay b\ensuremath→c\ensuremathℓ\ensuremathν_l, taking into account the c-quark mass, are described. Construction of the expansion in the mass ratio m_c/m_b as well as the evaluation of new four-loop master integrals are presented. The same techniques are applicable to the muon decay, \ensuremathμ\ensuremath→e\ensuremathν_\ensuremathμ\ensuremathν_e. Analytical results are presented, for the physical cases as well as for a model with purely-vector couplings.

Citations

• Automatized analytic continuation of Mellin–Barnes integrals
• Complete 2-Loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model
• Harmonic Polylogarithms