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Helicity analysis of the decays \(B \to K^* \ell^+ \ell^-\) and \(B \to \rho \ell \nu_\ell\) in the large energy effective theory

  • A. Ali
  • A.S. Safir
Theoretical Physics

Abstract.

We calculate the independent helicity amplitudes in the decays \(B \to K^* \ell^+ \ell^-\) and \(B \to \rho \ell \nu_\ell\) 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 \(B \to K^* \ell^+ \ell^-\) 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 \(B \to K^* J/\psi (\to \ell^+ \ell^-)\). Measurements of the ratios \(R_i(s) \equiv d \Gamma_{H_i}(s)(B \to K^* \ell^+ \ell^-)/ d \Gamma_{H_i}(s)(B \to \rho \ell \nu_\ell)\), 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 \(\vert V_{ub}\vert/\vert V_{ts} \vert\) and search for new physics, where the later is illustrated by supersymmetry.

Keywords

Invariant Mass Helicity Amplitude Decay Amplitude Dilepton Invariant Mass Rule Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002

Authors and Affiliations

  • A. Ali
    • 1
  • A.S. Safir
    • 1
  1. 1.Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany DE

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