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

TL;DR

This paper reviews the theoretical framework of heavy-to-light form factors in QCD, discusses recent progress in calculating $B o mbda$ form factors using sum rules, and explores implications for CKM matrix element extraction.

Contribution

It provides a detailed analysis of factorization, resummation, and sum rules for heavy-to-light form factors, advancing the theoretical understanding and calculation methods.

Findings

Demonstrated QCD factorization for vacuum-to-$B$-meson correlation functions.

Developed resummation techniques for large logarithms in form factor calculations.

Provided phenomenological insights into $|V_{ub}|$ extraction from $B o mbda$ decays.

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 $|V_{ub}|$.