2014/08/21 by A. Le Yaouanc, Alain Le Yaouanc, Yaouanc, Alain Le +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Mathematical and Theoretical Analysis #advanced mathematical theories #hep-ph
paper · pdf · doi:10.48550/arxiv.1408.5104
21 pages, one figure, contribution to a book in Memoriam Nikolai Uraltsev
arxiv created 2014/08/21 · openalex publication_date 2014/08/21 · arxiv updated 2014/08/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We first discuss Uraltsev's and other sum rules constraining the B → D**(L=1) weak transitions in the infinite mass limit, and compare them with dynamical approaches in the same limit. After recalling these well established facts, we discuss how to apply infinite mass limit to the physical situation. We provide predictions concerning semi-leptonic decays and non-leptonic ones, based on quark models. We then present in more detail the dynamical approaches: the relativistic quark model à la Bakamjian-Thomas and lattice QCD. We summarise lattice QCD results in the infinite mass limit and compare them to the quark model predictions. We then present preliminary lattice QCD results with finite b and c quark masses. A systematic comparison between theory and experiment is performed. We show that some large discrepancies exist between different experiments. Altogether the predictions at infinite mass are in fair agreement with experiment for non-leptonic decays contrary to what happens for semileptonic decays. We conclude by considering the prospects to clarify both the experimental situation, the theoretical one and the comparison between both.