Uncertainty in the leading order PQCD calculations of $B$ meson decays

Abstract

Uncertainty in the PQCD calculation of B decays is investigated in $B\to \pi$, $B\to D$ transition form factors and $B\to D\pi$ decay amplitudes. $B$ meson distributionamplitude dependence is studied by taking three kinds of distribution amplitude so far suggested. It is found that almost same $q^2$ dependence of the form factors can be obtained irrespective of the types of the $B$ meson distribution amplitude by suitably choosing one parameter. $B\to D\pi$ process shows the difference due to the distribution amplitude. The effect of the sub-leading component of the $B$ mesondistribution amplitude is also studied in the three processes. The numerical results of calculations with the sub-leading component can be well approximated by the leading order calculation with a suitable choice of the distribution amplitude parameters.

arXiv comment21pages, 13 figures; more discussions on RGE scale dependence and 1/M effects are added; typos are corrected

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• Measurement of the Absolute Branching Fractions B to Dpi, D*pi, D**pi with a Missing Mass Method
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• Exclusive processes $e^{+}{e}^{-}\to VP$ in $k_T$ factorization
• Heavy Pseudoscalar Twist-3 Distribution Amplitudes within QCD Theory in Background Fields
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Higher twist corrections to doubly-charmed baryonic $B$ decays
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization