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Elastic s-wave scattering phase shifts and |Vub| from lattice calculations of form factors for exclusive semileptonic decays

Elastic s-wave scattering phase shifts and |Vub| from lattice calculations of form factors for exclusive semileptonic decays
Elastic s-wave scattering phase shifts and |Vub| from lattice calculations of form factors for exclusive semileptonic decays
Omnès dispersion relations make a connection between form factors for exclusive semileptonic decays and phase shifts in the corresponding elastic scattering channels. We describe two applications. In the first, we use lattice form factor calculations to learn about phase shifts in elastics-wave isospin-1/2 channels for Kπ , Bπ , Dπ and DK scattering. The aim of the second application is to make the determination of the CKM matrix element magnitude |Vub| from exclusive semileptonic B → π decays competitive with that from inclusive decays. Here we use many subtractions in an Omnès dispersion relation to motivate a simple fitting function, allowing data to constrain the q2 shape of the differential decay rate and theory, primarily lattice results, to provide normalisation via form factor values.
352
Proceedings of Science
Flynn, Jonathan. M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, Juan
7d5cbd0b-f25d-44f0-be50-fdecb2e54bfe
Flynn, Jonathan. M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, Juan
7d5cbd0b-f25d-44f0-be50-fdecb2e54bfe

Flynn, Jonathan. M. and Nieves, Juan (2007) Elastic s-wave scattering phase shifts and |Vub| from lattice calculations of form factors for exclusive semileptonic decays. In Proceedings of Science (POS) LATTICE 2007. Proceedings of Science. p. 352 .

Record type: Conference or Workshop Item (Paper)

Abstract

Omnès dispersion relations make a connection between form factors for exclusive semileptonic decays and phase shifts in the corresponding elastic scattering channels. We describe two applications. In the first, we use lattice form factor calculations to learn about phase shifts in elastics-wave isospin-1/2 channels for Kπ , Bπ , Dπ and DK scattering. The aim of the second application is to make the determination of the CKM matrix element magnitude |Vub| from exclusive semileptonic B → π decays competitive with that from inclusive decays. Here we use many subtractions in an Omnès dispersion relation to motivate a simple fitting function, allowing data to constrain the q2 shape of the differential decay rate and theory, primarily lattice results, to provide normalisation via form factor values.

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More information

Published date: August 2007
Venue - Dates: The XXV International Symposium on Lattice Field Theory, Regensburg, Germany, 2007-07-29 - 2007-08-03

Identifiers

Local EPrints ID: 57253
URI: http://eprints.soton.ac.uk/id/eprint/57253
PURE UUID: 8854fb33-9c5f-433f-b904-4027aec2feb2
ORCID for Jonathan. M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 19 Jan 2022 02:33

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Contributors

Author: Juan Nieves

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