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

Elastic s-wave scattering phase shifts and |V_ub| from lattice calculations of form factors for exclusive semileptonic decays
Elastic s-wave scattering phase shifts and |V_ub| 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 elastic s-wave isospin-1/2 channels for Kp , Bp , Dp 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?p 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.
1-7
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, J.
4d72ebe2-1ea0-4579-bd81-4c682ab01a7f
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, J.
4d72ebe2-1ea0-4579-bd81-4c682ab01a7f

Flynn, J.M. and Nieves, J. (2007) Elastic s-wave scattering phase shifts and |V_ub| from lattice calculations of form factors for exclusive semileptonic decays. Proceedings of Science, PoS (LATTICE) 2 (352), 1-7.

Record type: Article

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 elastic s-wave isospin-1/2 channels for Kp , Bp , Dp 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?p 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: 2007
Additional Information: XXV International Symposium on Lattice Field Theory July 30 – August 4 2007 Regensburg, Germany

Identifiers

Local EPrints ID: 64199
URI: https://eprints.soton.ac.uk/id/eprint/64199
PURE UUID: 143ce741-f23c-4c45-9833-9264c68bd180
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

Catalogue record

Date deposited: 05 Jan 2009
Last modified: 20 Jul 2019 01:21

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