Exclusive rare decays of B and B_c mesons in a relativistic quark model

Details Exclusive rare decays of B and B_c mesons in a relativistic quark model Exclusive rare decays of B and B_c mesons in a relativistic quark model

2002-11-06

arxiv.org/abs/hep-ph/0211077v1

Lect.Notes Phys.647:245-263,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, Lectures given at the International School "Heavy Quark Physics", May 27-June 5, 2002, JINR, Dubna, Russia

Scientific paper

In these lectures we give, first, the model-independent analysis of the exclusive rare decays B -> K l(bar) l and B_c -> D(D*) l(bar) l with special emphasis on the cascade decay B_c -> D(*)(-> D pi) l(bar) l. We derive a four-fold angular decay distribution for this process in terms of helicity amplitudes including lepton mass effects. The four-fold angular decay distribution allows to define a number of physical observables which are amenable to measurement. Second, we calculate the relevant form factors within a relativistic constituent quark model, for the first time without employing the impulse approximation. The calculated form factors are used to evaluate differential decay rates and polarization observables. We present results on a set of observables with and without long-distance contributions. and compare them with the results of other studies.

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