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Hadronic form factors in lattice QCD at small and vanishing momentum transfer

Hadronic form factors in lattice QCD at small and vanishing momentum transfer
Hadronic form factors in lattice QCD at small and vanishing momentum transfer
The introduction of partially twisted boundary conditions allows weak and electromagnetic form factors to be evaluated at specified values of the hadronic momenta (and hence momentum transfers) in lattice simulations. We present and demonstrate this technique for the computation of the K ? ? semileptonic form factor at zero momentum transfer and for the electromagnetic form factor of the pion at arbitrarily small momentum transfers. These exploratory computations are carried out in full QCD with 3 flavours of sea quarks, but with only two values of mu = md which limits our ability to perform the chiral extrapolations. The results should therefore be viewed primarily as a demonstration of the feasibility of the method. For the K ? ? form factor we compare the new technique to the conventional approach and for the pion form factor we assess our results for very small momentum transfer with the help of chiral perturbation theory.
kaon physics, electromagnetic processes and properties, weak decays, lattice QCD
16-37
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Zanotti, J.M
523e26c5-7ac4-49cb-b59e-31cbcfa13d03
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Juttner, A.
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Zanotti, J.M
523e26c5-7ac4-49cb-b59e-31cbcfa13d03

Flynn, J.M., Juttner, A., Sachrajda, C.T., Boyle, P.A. and Zanotti, J.M (2007) Hadronic form factors in lattice QCD at small and vanishing momentum transfer. Journal of High Energy Physics, 5, 16-37. (doi:10.1088/1126-6708/2007/05/016).

Record type: Article

Abstract

The introduction of partially twisted boundary conditions allows weak and electromagnetic form factors to be evaluated at specified values of the hadronic momenta (and hence momentum transfers) in lattice simulations. We present and demonstrate this technique for the computation of the K ? ? semileptonic form factor at zero momentum transfer and for the electromagnetic form factor of the pion at arbitrarily small momentum transfers. These exploratory computations are carried out in full QCD with 3 flavours of sea quarks, but with only two values of mu = md which limits our ability to perform the chiral extrapolations. The results should therefore be viewed primarily as a demonstration of the feasibility of the method. For the K ? ? form factor we compare the new technique to the conventional approach and for the pion form factor we assess our results for very small momentum transfer with the help of chiral perturbation theory.

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Published date: 2007
Keywords: kaon physics, electromagnetic processes and properties, weak decays, lattice QCD

Identifiers

Local EPrints ID: 57115
URI: http://eprints.soton.ac.uk/id/eprint/57115
PURE UUID: 6061f717-3b66-4fec-aa38-4ebf616ddf68
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677
ORCID for A. Juttner: ORCID iD orcid.org/0000-0002-3978-0927

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 16 Mar 2024 03:40

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Contributors

Author: J.M. Flynn ORCID iD
Author: A. Juttner ORCID iD
Author: C.T. Sachrajda
Author: P.A. Boyle
Author: J.M Zanotti

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