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$B$ meson wave function in $k_T$ factorization

Hsiang-nan Li·Huei-Shih Liao
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Abstract

We study the asymptotic behavior of the $B$ meson wave function in the framework of $k_T$ factorization theorem. We first construct a definition of the $k_T$-dependent $B$ meson wave function, which is free of light-cone divergences. Next-to-leading-order corrections are then calculated based on this definition. The treatment of different types of logarithms in the above corrections, including the Sudakov logarithms, and those depending on a renormalization scale and on an infrared regulator, is summarized. The criticism raised in the literature on our resummation formalism and Sudakov effect is responded. We show that the $B$ meson wave function remains normalizable after taking into account renormalization-group evolution effects, contrary to the observation derived in the collinear factorization theorem.

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Hsiang-nan Li, Huei-Shih Liao. 2004-09-16. $B$ meson wave function in $k_T$ factorization. https://doi.org/10.1103/physrevd.70.074030

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