Survey of heavy-meson observables

Abstract

We employ a Dyson-Schwinger equation model to effect a unified and uniformly accurate description of light- and heavy-meson observables, which we characterise by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions - B -> D*, D, rho, pi; D -> K*, K, pi, radiative and strong decays - B(s)* -> B(s) gamma; D(s)* -> D(s) gamma, D pi, and the rare B-> K* gamma flavour-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 M_c=1.32 GeV and M_b=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 well able to describe vector meson polarisation observables.

32 pages, 7 figures, REVTEX. Some quantitative modification of tables and figures: calculation of additional processes. To appear in Phys. Rev. D

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• pi- and K-meson Bethe-Salpeter Amplitudes
• Pion mass and decay constant
• Hadron Physics from the Global Color Model of QCD
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Electromagnetic form factors of light vector mesons
• The non-perturbative three-point vertex in massless quenched QED and perturbation theory constraints
• Semileptonic decays of heavy mesons
• Heavy- to light-meson transition form factors
• Heavy Quark Physics From Lattice QCD
• Application of Jain and Munczek's bound-state approach to gamma gamma-processes of pi0, eta_c and eta_b
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