A perturbative approach to $B$ decays into two $\ddot{I}€$ mesons

Abstract

The modified perturbative approach in which transverse degrees of freedom as well as Sudakov suppressions are taken into account, is applied to $B$ decays into two $\ddot{I}€$ mesons. The influence of various model parameters (CKM matrix elements, $B$ decay constant, mesonic wave functions) on the results as well as short distance corrections to the weak Hamiltonian are discussed in some detail. The perturbative contributions to the $B$ decays yield branching ratios of the order of $10^{-7}-10^{-6}$ which values are well below the upper limit for the ${\bar{B}}^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ branching ratio as measured by CLEO.

26 pages, RevTex, 6 figures appended (compressed and uuencode using 'uufiles')