2015/12/03 by D. G. C. McKeon, McKeon, D. G. C.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1512.00954
arxiv created 2015/12/03 · openalex publication_date 2015/12/03 · arxiv updated 2015/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After reviewing how the renormalization group equation can be used to sum logarithmic corrections to the decay rate for the semi-leptonic process b->u when using minimal subtraction, we consider renormalization scheme dependence for this calculation when employing this renor- malization scheme. In this calculation, an ambiguity resides in the running strong coupling and in the running b quark mass. The ambiguity usually associated with the renormalization mass scale mu is shown to cancel. It is demonstrated how in one renormalization scheme, there are only leading-log contributions to this decay rate. Another choice of renormalization scheme results in the decay rate being expressed in terms of the two-loop contribution to the beta-function associated with the strong coupling and the one-loop contribution to the anomalous mass dimension as well as a set of renormalization scheme invariant parameters.