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Semileptonic decays of heavy mesons

Abstract

The semileptonic and leptonic decays of heavy mesons are studied as a phenomenological application and exploration of a heavy-quark limit of Dyson-Schwinger equations. The single form factor, ξ(w)\xi(w), which characterises the semileptonic decay in this limit, is calculated and compares well with recent experimental extractions. We obtain a lower bound of 1/3 on the slope-parameter ρ2ξ(1)\rho^2 \equiv -\xi^\prime(1), which, in calculations with realistic input, is exceeded by a great deal: agreement with experimental data requiring ρ21.21.6\rho^2 \sim 1.2 - 1.6. The flavour and momentum dependence of the light-quark propagators has observable consequences.Comment: 11 pages, LaTeX, epsfig.sty, elsart.st

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