QCD Constraints on Form Factor Shapes

TL;DR

This paper discusses how dispersion relations, grounded in QCD, can be used to constrain the shapes of hadronic form factors, aiding in precise determinations of fundamental parameters like CKM matrix elements and quark masses.

Contribution

It introduces methods leveraging dispersion relations to impose QCD constraints on hadronic form factors for various physical quantities.

Findings

Constraints on |V_{cb}| and |V_{ub}| from form factor shapes

Estimates of the strange quark mass

Determination of the pion charge radius

Abstract

This talk presents an introduction to the use of dispersion relations to constrain the shapes of hadronic form factors consistent with QCD. The applications described include methods for studying |V_{cb}| and |V_{ub}|, the strange quark mass, and the pion charge radius.