Perturbative corrections to the ratio Γ(B → D ρ^-)/ Γ(B → D π^-).

Citation

Haas, George D. A. (1993) Perturbative corrections to the ratio Γ(B → D ρ^-)/ Γ(B → D π^-). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dwt2-3r04. https://resolver.caltech.edu/CaltechTHESIS:12042012-092409874

Abstract

QCD interactions involving a heavy quark with energy much smaller than its mass can be understood in the context of an effective field theory in which the heavy quark velocity is held fixed while its mass is taken to infinity. Nonleptonic decays of hadrons containing a heavy quark further simplify when gluons exchanged carry small momenta compared to the heavy quark mass.

Under these assumptions the ratio of rates for B → D ρ^- and B → D π^- is investigated. The reliability of these assumptions is tested by calculating first order, one loop QCD corrections, assuming reasonable momentum distributions for the quarks inside the light mesons.

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