| Article | |
| Report number | arXiv:2303.11285 ; CERN-TH-2023-047 |
| Title | Bayesian inference for form-factor fits regulated by unitarity and analyticity |
| Author(s) | Flynn, J.M. (Southampton U.) ; Jüttner, A. (Southampton U. ; CERN) ; Tsang, J.T. (CERN) |
| Publication | 2023-12-27 |
| Imprint | 2023-03-20 |
| Number of pages | 46 |
| Note | 46 pages, 8 figures, version as published in JHEP with updated references, extended discussion of the truncation dependence (Sec. 3.4) and the asymptotic behaviour of the BGL expansion (App. C) |
| In: | JHEP 2312 (2023) 175 |
| DOI | 10.1007/JHEP12(2023)175 |
| Subject category | hep-lat ; Particle Physics - Lattice ; hep-ph ; Particle Physics - Phenomenology |
| Abstract | We propose a model-independent framework for fitting hadronic form-factor data, which is often only available at discrete kinematical points, using parameterisations 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 $|V_{ub}|$. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2023-2024 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Record created 2023-03-22, last modified 2024-02-10
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