The pion's electromagnetic form factor at small momentum transfer in full lattice QCD

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dc.creatorBoyle, P. A.
dc.creatorFlynn, J. M.
dc.creatorJuttner, A.
dc.creatorKelly, C.
dc.creatorde Lima, H. Pedroso
dc.creatorMaynard, C. M.
dc.creatorSachrajda, C. T.
dc.creatorZanotti, J. M.
dc.date2008-04-24
dc.date.accessioned2026-07-07T12:24:14Z
dc.date.available2026-07-07T12:24:14Z
dc.descriptionWe compute the electromagnetic form factor of a "pion" with mass m_pi=330MeV at low values of Q^2\equiv -q^2, where q is the momentum transfer. The computations are performed in a lattice simulation using an ensemble of the RBC/UKQCD collaboration's gauge configurations with Domain Wall Fermions and the Iwasaki gauge action with an inverse lattice spacing of 1.73(3)GeV. In order to be able to reach low momentum transfers we use partially twisted boundary conditions using the techniques we have developed and tested earlier. For the pion of mass 330MeV we find a charge radius given by <r_pi^2>_{330MeV}=0.354(31)fm^2 which, using NLO SU(2) chiral perturbation theory, extrapolates to a value of <r_pi^2>=0.418(31)fm^2 for a physical pion, in agreement with the experimentally determined result. We confirm that there is a significant reduction in computational cost when using propagators computed from a single time-slice stochastic source compared to using those with a point source; for m_pi=330MeV and volume (2.74fm)^3 we find the reduction is approximately a factor of 12.
dc.description20 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0804.3971
dc.identifierhttp://arxiv.org/abs/0804.3971
dc.identifierJHEP 0807:112,2008
dc.identifierdoi:10.1088/1126-6708/2008/07/112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214257
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe pion's electromagnetic form factor at small momentum transfer in full lattice QCD
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