Factorization, resummation and sum rules for heavy-to-light form factors

Abstract

Precision calculations of heavy-to-light form factors are essential to sharpen our understanding towards the strong interaction dynamics of the heavy-quark system and to shed light on a coherent solution of flavor anomalies. We briefly review factorization properties of heavy-to-light form factors in the framework of QCD factorization in the heavy quark limit and discuss the recent progress on the QCD calculation of $B\to \pi$ form factors from the light-cone sum rules with the $B$-meson distribution amplitudes. Demonstration of QCD factorization for the vacuum-to-$B$-meson correlation function used in the sum-rule construction and resummation of large logarithms in the short-distance functions entering the factorization theorem are presented in detail. Phenomenological implications of the newly derived sum rules for $B\to \pi$ form factors are further addressed with a particular attention to the extraction of the CKM matrix element $|V_{ub}|$.

6 pages, 3 figures, proceedings prepared for the "QCD@work 2016", (27-30 June 2016, Martina Franca, Italy)

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• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
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Cited by in corpus (1)

• Subleading power corrections in radiative leptonic $B$ decay