Bayesian inference for form-factor fits regulated by unitarity and analyticity

Abstract

We propose a model-independent framework for fitting hadronic form-factor data, which is often only available at discrete kinematical points, using parametristations based on to unitarity and analyticity. In this novel approach the latter two properties of quantum-field theory regulate the ill-posed fitting problem and allow model-independent predictions over the entire physical range. Kinematical constraints, for example for the vector and scalar form factors in semileptonic meson decays, can be imposed exactly. The core formulae are straight-forward to implement with standard math libraries. We take account of a generalisation of the original Boyd~Grinstein~Lebed (BGL) unitarity constraint for form factors and demonstrate our method for the exclusive semileptonic decay $B_s\to K \ell \nu$, for which we make a number of phenomenologically relevant predictions, including the CKM matrix element $|V_{ub}|$.

More information

Identifiers

ORCID for J.M. Flynn: orcid.org/0000-0002-6280-1677

ORCID for A. Jüttner: orcid.org/0000-0002-3978-0927

Catalogue record

Export record

Altmetrics