RELATIVISTIC DESCRIPTION OF THE EXCLUSIVE RARE RADIATIVE DECAYS OF B MESONS

Abstract

The exclusive rare radiative $B$-decays are studied in the framework of the relativistic quark model based on the quasipotential approach in quantum field theory. The large recoil momentum of the final vector meson allows for the expansion of the decay form factor in inverse powers of the b-quark mass. This considerably simplifies the analysis of these decays. The $1/m_b$ expansion is carried out up to the second order. The form factor of \btok decay is found to be $F_1^{B\to K^{\ast }\gamma }(0)=0.32\pm 0.03$ and it leads to $BR(B\to K^{\ast }\gamma )=(4.5\pm 1.5)\times 10^{-5}$, which is in agreement with the recent CLEO data. The form factors of the decays \btorho, \bstophi and \bstok are also considered. The relation between rare radiative and semileptonic $B$-decays into light vector meson is discussed.

15 pages, LATEX, 2 figures inclosed

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Cited by in corpus (11)

• Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model
• Heavy quark 1/m_Q contributions in semileptonic B decays to orbitally excited D mesons
• Relativistic Description of Exclusive Heavy-to-Light Semileptonic Decays $B\to \pi (\rho )e\nu$
• Rare semileptonic decays of B and B_c mesons in the relativistic quark model
• Form factors of heavy-to-light B decays at large recoil
• Exclusive semileptonic B decays to radially excited D mesons
• Rare $B_s$ decays in the relativistic quark model
• Rare radiative B decays to orbitally excited K mesons
• Exclusive semileptonic decays of B mesons to orbitally excited D mesons in the relativistic quark model
• Relativistic Description of Exclusive Semileptonic Decays of Heavy Mesons
• Rare radiative B decay to the orbitally excited K_2^*(1430) meson