1996/07/26 by Lev A. Koyrakh, L. Koyrakh, Koyrakh, Lev A. · 1 citation
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 #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9607443
101 pages ps file, Ph.D. Thesis, also available at http://mnhepw.hep.umn.edu/~lev/koyrakh.ps.gz
arxiv created 1996/07/26 · openalex publication_date 1996/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A model independent approach based on a generalization of the operator product expansion is used to describe semileptonic decays of heavy flavors. In the first part of the dissertation we calculate differential distributions in the inclusive semileptonic weak decays of heavy flavors in QCD. In particular, the double distribution in electron energy and invariant mass of the lepton pair is calculated. The distributions are calculated as series in mQ-1 where mQ is the heavy quark mass. All effects up to mQ-2 are included. Also calculated are the energy distribution and semileptonic decay width for the case of a heavy lepton in the final state. Based on the results of the first part of the work, we calculate the full up to order 1/mQ2 set of the OPE sum rules for the heavy flavor transitions and radiative corrections to them up to order αsΛQCD/mQ. In the second part of this work a new model is proposed for the inclusive semileptonic decays of the B mesons B→ lνXc, which is \em defined by the requirement that it should satisfy the QCD consistency conditions. These conditions are imposed in the form of the OPE sum rules. It is shown that under some natural assumptions the OPE sum rules provide sufficient number of constraints to fully determine exclusive contributions of a number of resonances in the final state of the decay. The theoretical results for the model are presented in the form suitable for comparison with experimental data. The proposed model can be used for experimental measurements of the heavy meson matrix element μπ2 which describes the kinetic energy of the heavy quark inside the hadron, as well as for extraction of the value of |Vcb| from experimental data and other applications.