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 Kℓ3 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 ⟨r2⟩330 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 Kℓ3 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.
d8e90963-ba56-415c-bbd4-496b7d91d343
de Lima, H. Pedroso
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Sachrajda, C.T.
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Boyle, P.A.
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Kelly, C.
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Maynard, C.M.
379b1165-7a0a-4ea4-b900-b094aac31c71
Zanotti, J.M.
3683c637-7418-47b0-bb9d-2b704d28bd2d
Jüttner, A.
83e336df-c2b2-455d-b9d4-9abbd490e930
2008
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, .
Abstract
We compute the Kℓ3 and pion form factors using partially twisted boundary conditions. The twists are chosen so that the Kℓ3 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 ⟨r2⟩330 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 Kℓ3 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.
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Accepted/In Press date: 14 July 2008
Published date: 2008
Additional Information:
Imported from arXiv
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Local EPrints ID: 144005
URI: http://eprints.soton.ac.uk/id/eprint/144005
PURE UUID: 28e748c8-5289-4644-92e2-e13c5685fd2b
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Date deposited: 14 Apr 2010 12:31
Last modified: 09 Jan 2022 02:44
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Contributors
Author:
H. Pedroso de Lima
Author:
P.A. Boyle
Author:
C. Kelly
Author:
C.M. Maynard
Author:
J.M. Zanotti
Author:
A. Jüttner
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