A perturbative approach to $B$ decays into two $π$ mesons

Details A perturbative approach to $B$ decays into two $π$ mesons A perturbative approach to $B$ decays into two $π$ mesons

1995-03-23

arxiv.org/abs/hep-ph/9503418v1

Z.Phys.C68:595-606,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1007/BF01565259

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 $\pi$ 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 $\bar{B}^0\to\pi^+\pi^-$ branching ratio as measured by CLEO.

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