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Kl3 and pion form factors using partially twisted boundary conditions

Kl3 and pion form factors using partially twisted boundary conditions
Kl3 and pion form factors using partially twisted boundary conditions
We compute the Kℓ3 and pion form factors using partially twisted boundary conditions. The twists are chosen so that the K3 form factors are calculated directly at zero momentum transfer (q2 = 0), removing the need for a q2 interpolation, while the pion form factor is determined at values of q2 close to q2=0. The simulations are performed on an ensemble of the RBC/UKQCD collaboration's gauge configurations with Domain Wall Fermions and the Iwaski gauge action with an inverse lattice spacing of 1.73(3) GeV. Simulating at a single pion mass of 330 MeV, we find the pion charge radius to be ⟨r2330 MeV = 0.354(31) fm2 which, using NLO SU(2) chiral perturbation theory, translates to a value of ⟨rπ2⟩ = 0.418(31) fm2 for a physical pion. For the value of the K3 form factor, fKπ+(q2), determined directly at q2 = 0, we
find a value of fKπ+(0) = 0.9742(41) at this particular quark mass, which agrees well with our earlier result (0.9774(35)) obtained using the standard, indirect method.
287
Flynn, J.M.
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de Lima, H. Pedroso
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Sachrajda, C.T.
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Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Kelly, C.
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Maynard, C.M.
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Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d
Jüttner, A.
83e336df-c2b2-455d-b9d4-9abbd490e930
Flynn, J.M.
d8e90963-ba56-415c-bbd4-496b7d91d343
de Lima, H. Pedroso
c88e9d85-5304-4876-9007-d0d62f47ee06
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Boyle, P.A.
deafc6c3-3d18-4199-84f5-6f20cd03e311
Kelly, C.
c4345b06-5900-4597-9dbc-623dc13e6f8e
Maynard, C.M.
379b1165-7a0a-4ea4-b900-b094aac31c71
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d
Jüttner, A.
83e336df-c2b2-455d-b9d4-9abbd490e930

Flynn, J.M., de Lima, H. Pedroso, Sachrajda, C.T., Boyle, P.A., Kelly, C., Maynard, C.M., Zanotti, J.M. and Jüttner, A. (2008) Kl3 and pion form factors using partially twisted boundary conditions. Proceedings of Science, LATTICE2008, 287.

Record type: Article

Abstract

We compute the Kℓ3 and pion form factors using partially twisted boundary conditions. The twists are chosen so that the K3 form factors are calculated directly at zero momentum transfer (q2 = 0), removing the need for a q2 interpolation, while the pion form factor is determined at values of q2 close to q2=0. The simulations are performed on an ensemble of the RBC/UKQCD collaboration's gauge configurations with Domain Wall Fermions and the Iwaski gauge action with an inverse lattice spacing of 1.73(3) GeV. Simulating at a single pion mass of 330 MeV, we find the pion charge radius to be ⟨r2330 MeV = 0.354(31) fm2 which, using NLO SU(2) chiral perturbation theory, translates to a value of ⟨rπ2⟩ = 0.418(31) fm2 for a physical pion. For the value of the K3 form factor, fKπ+(q2), determined directly at q2 = 0, we
find a value of fKπ+(0) = 0.9742(41) at this particular quark mass, which agrees well with our earlier result (0.9774(35)) obtained using the standard, indirect method.

Full text not available from this repository.

More information

Accepted/In Press date: 14 July 2008
Published date: 2008
Additional Information: Imported from arXiv

Identifiers

Local EPrints ID: 144005
URI: https://eprints.soton.ac.uk/id/eprint/144005
PURE UUID: 28e748c8-5289-4644-92e2-e13c5685fd2b
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

Catalogue record

Date deposited: 14 Apr 2010 12:31
Last modified: 20 Jul 2019 01:21

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