A perturbative approach to $B$ decays into two $\pi$ 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 $\pi$ 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.

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

References in corpus (3)

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Cited by in corpus (26)

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• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Vector meson electroproduction at small Bjorken-x and generalized parton distributions
• Perturbative QCD Analysis of $B$ Meson Decays
• The longitudinal cross section of vector meson electroproduction
• The $\pi \gamma$ transition form factor and the pion wave function
• Factorization and the Soft Overlap Contribution to Heavy-to-Light Form Factors
• Exclusive $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to K^{\ast }\gamma$ transitions in a scenario with a single Universal Extra Dimension
• The form factors for the photon to pseudoscalar meson transitions - an update
• Sudakov effects in B -> pi l nu form factors
• Light-cone sum rules in soft-collinear effective theory
• Colour-octet contributions to exclusive charmonium decays
• The ${\eta }^{\prime }{g}^{\ast }{g}^{\ast }$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach
• Consistent Analysis of the $B\to \pi$ Transition Form Factor in the Whole Physical Region
• Determination of the pion distribution amplitude
• B-Meson Wavefunction in the Wandzura-Wilczek Approximation
• Perturbative approach to the penguin-induced $B\to \pi \varphi$
• Conceptual aspects of QCD factorization in hadronic B decays
• Bounding Heavy Meson Form Factors Using Inclusive Sum Rules
• Sudakov suppression in the soft heavy to light meson transition form factor
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories
• Twist-3 contributions to $\gamma \gamma \to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$ processes in perturbative QCD approach
• PQCD approach to exclusive B decays