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 → π 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 → π form factors are further addressed with a particular attention to the extraction of the CKM matrix element |Vub|.