Kl3 and pion form factors using partially twisted boundary conditions

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.


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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.

Item Type: Article
Additional Information: Imported from arXiv
ISSNs: 1824-8039 (electronic)
Subjects: Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Physics and Astronomy > Southampton High Energy Physics
ePrint ID: 144005
Date :
Date Event
14 July 2008["eprint_fieldopt_dates_date_type_delivered" not defined]
Date Deposited: 14 Apr 2010 12:31
Last Modified: 31 Mar 2016 13:19
URI: http://eprints.soton.ac.uk/id/eprint/144005

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