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arXiv · hep-ph/9607214

Three-Scale Factorization Theorem and Effective Field Theory

Chia-Hung V. Chang·Hsiang-nan Li
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Abstract

We develop a perturbative QCD factorization theorem which is compatible with effective field theory. The factorization involves three scales: an infrared cutoff of order $Λ_{\rm QCD}$, a hard scale of order the $B$ meson mass, and an ultraviolet cutoff of order the $W$ boson mass. Our approach is renormalization group invariant and moderates the scale-dependence problem in effective field theory. Applying this formalism to exclusive nonleptonic $B$ meson decays, we clarify the controversy over the Bauer-Stech-Wirbel parameters $a_2/a_1$ for charm and bottom decays. It is found that the nonfactorizable contribution plays an important role in the explanation of the sign and magnitude of $a_2/a_1$.

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Chia-Hung V. Chang, Hsiang-nan Li. 1996-07-02. Three-Scale Factorization Theorem and Effective Field Theory. https://doi.org/10.1103/physrevd.55.5577

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