Bayesian inference for form-factor fits regulated by unitarity and analyticity
Bayesian inference for form-factor fits regulated by unitarity and analyticity
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 $|V_{ub}|$.
hep-ph, hep-lat
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Jüttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Tsang, J.T.
e4648385-cecf-4c02-b13e-c06312f16b12
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Jüttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Tsang, J.T.
e4648385-cecf-4c02-b13e-c06312f16b12
Flynn, J.M., Jüttner, A. and Tsang, J.T.
(2023)
Bayesian inference for form-factor fits regulated by unitarity and analyticity.
Journal of High Energy Physics, 2023, [175].
(doi:10.48550/arXiv.2303.11285).
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 $|V_{ub}|$.
Text
2303.11285v1
- Author's Original
Text
JHEP12(2023)175
- Version of Record
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Accepted/In Press date: 13 December 2023
e-pub ahead of print date: 27 December 2023
Keywords:
hep-ph, hep-lat
Identifiers
Local EPrints ID: 477513
URI: http://eprints.soton.ac.uk/id/eprint/477513
ISSN: 1126-6708
PURE UUID: 27d583d0-cc77-477c-80d0-7ec671e28739
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Date deposited: 07 Jun 2023 17:02
Last modified: 17 May 2024 01:38
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Author:
J.T. Tsang
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