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Kl3 and pion form factors using partially twisted boundary conditions

Record type: Article

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 (q^2=0), removing the need for a q^2
interpolation, while the pion form factor is determined at values of q^2 close
to q^2=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 < r^2>_{330
MeV}=0.354(31) fm^2 which, using NLO SU(2) chiral perturbation theory,
translates to a value of <r_\pi^2>=0.418(31) fm^2 for a physical pion. For the
value of the Kl3 form factor, f_{K\pi}^+(q^2), determined directly at q^2=0, we
find a value of f_{K\pi}^+(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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Citation

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, p. 287.

More information

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

Identifiers

Local EPrints ID: 144005
URI: http://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: 18 Jul 2017 23:08

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Contributors

Author: J.M. Flynn ORCID iD
Author: H. Pedroso de Lima
Author: C.T. Sachrajda
Author: P.A. Boyle
Author: C. Kelly
Author: C.M. Maynard
Author: J.M. Zanotti
Author: A. Jüttner

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