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

Takeshi Kurimoto
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Abstract

Uncertainty in the PQCD calculation of B decays is investigated in $B\to π$, $B\to D$ transition form factors and $B\to Dπ$ 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. $B\to Dπ$ 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.

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Takeshi Kurimoto. 2006-06-29. Uncertainty in the leading order PQCD calculations of $B$ meson decays. https://doi.org/10.1103/physrevd.74.014027

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