Helicity analysis of the decays B --> K^* ell^+ ell^- and B --> rho ell nu_ell in the large Energy Effective Theory

Details Helicity analysis of the decays B --> K^* ell^+ ell^- and B --> rho ell nu_ell in the large Energy Effective Theory Helicity analysis of the decays B --> K^* ell^+ ell^- and B --> rho ell nu_ell in the large Energy Effective Theory

2002-05-22

arxiv.org/abs/hep-ph/0205254v4

Eur.Phys.J.C25:583-601,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, 30 figures (requires epsfig,psfrag), corrected sections 6 and 7, compared the results with data and other model esti

Scientific paper

10.1140/epjc/s2002-01040-3

We calculate the independent helicity amplitudes in the decays B --> K^* ell^+ ell^- and B --> rho ell nu_ell in the so-called Large-Energy-Effective-Theory (LEET). Taking into account the dominant O(alpha_s) and SU(3) symmetry-breaking effects, we calculate various Dalitz distributions in these decays making use of the presently available data and decay form factors calculated in the QCD sum rule approach. Differential decay rates in the dilepton invariant mass and the Forward-Backward asymmetry in B --> K^* ell^+ ell^- are worked out. We also present the decay amplitudes in the transversity basis which has been used in the analysis of data on the resonant decay B --> K^* J/psi (--> ell^+ ell^-). Measurements of the ratios R_i(s) equivalent to d Gamma_{H_i}(s)(B --> K^* ell^+ ell^-)/ d Gamma_{H_i}(s)(B --> rho ell nu_ell), involving the helicity amplitudes H_i(s), i = 0,+1, -1, as precision tests of the standard model in semileptonic rare B-decays are emphasized. We argue that R_0(s) and R_{-}(s) can be used to determine the CKM ratio |V_{ub}|/|V_{ts}| and search for new physics, where the later is illustrated by supersymmetry.

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