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 elastics-wave isospin-1/2 channels for Kπ , Bπ , Dπ and DK scattering. The aim of the second applicationis 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.
1-7
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Nieves, J.
4d72ebe2-1ea0-4579-bd81-4c682ab01a7f
2007
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), .
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 applicationis 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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Published date: 2007
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XXV International Symposium on Lattice Field Theory
July 30 – August 4 2007
Regensburg, Germany
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Local EPrints ID: 64199
URI: http://eprints.soton.ac.uk/id/eprint/64199
PURE UUID: 143ce741-f23c-4c45-9833-9264c68bd180
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Date deposited: 05 Jan 2009
Last modified: 19 Jan 2022 02:33
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J. Nieves
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