1998/12/31 by M. A. Ivanov, Yu. L. Kalinovsky, Craig D. Roberts +1 · 12 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Meson #Nuclear physics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ex #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.60.034018
published as Phys.Rev.D60:034018,1999 · 32 pages, 7 figures, REVTEX. Some quantitative modification of tables and figures: calculation of additional processes. To appear in Phys. Rev. D
arxiv created 1999/04/19 · openalex publication_date 1999/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We employ a Dyson-Schwinger equation model to effect a unified and uniformly accurate description of light- and heavy-meson observables, which we characterize by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions, \stackrel\ensuremath→BD*, D, \ensuremathρ, \ensuremathπ; \stackrel\ensuremath→DK*, K, \ensuremathπ, radiative and strong decays, B(s)*\ensuremath→B(s)\ensuremathγ; D(s)*\ensuremath→D(s)\ensuremathγ, D\ensuremathπ, and the rare \stackrel\ensuremath→BK*\ensuremathγ flavor-changing neutral-current process. We elucidate the heavy-quark limit of these processes and, using a model-independent mass formula valid for all nonsinglet pseudoscalar mesons, demonstrate that their mass rises linearly with the mass of their heaviest constituent. In our numerical calculations we eschew a heavy-quark expansion and rely instead on the observation that the dressed c,b-quark mass functions are well approximated by a constant, interpreted as their constituent mass: we find Mc=1.32 GeV and Mb=4.65 GeV. The calculated heavy-meson leptonic decay constants and transition form factors are a necessary element in the experimental determination of CKM matrix elements. The results also show that this framework, as employed hitherto, is able to describe vector meson polarization observables well.