Lattice results for vector meson couplings and parton distribution amplitudes

Antonio, D., Boyle, P.A., Donnellan, M.A., Flynn, J., Juttner, A., Maynard, C., Pendleton, B., Sachrajda, C.T. and Tweedie, R. (2007) Lattice results for vector meson couplings and parton distribution amplitudes. Bali, Gunnar, Braun, Vladimir, Gattringer, Christof, Göckeler, Meinulf, Schäfer, Andreas, Weisz, Peter and Wettig, Tilo (eds.) In Proceedings of Lattice 2007, The XXV International Symposium on Lattice Field Theory. Scuola Internaziole Superiore di Studi Avanzati. 7 pp .

Abstract

We present results for the couplings of light vectormesons to vector and tensor currents and on the
low moments of the light-cone distribution amplitudes of the pion and kaon. The calculations are
performed on the RBC and UKQCD collaborations’ ensembles generated with the Iwasaki gauge
action and with 2+1 flavours of domain wall fermions. The (preliminary) results for the ratios of
the couplings of the vector meson to the vector and tensor currents ( fV and f T
V respectively) in the
MS scheme at 2GeV are: f T
r / fr = 0.681(20); f T
K?/ fK? = 0.712(11) and f T
f / ff = 0.751(9). For
the first moment of the kaon’s distribution amplitude we find (in the same scheme and at the same
scale) hx iK = 0.029(2) and for the second moment hx 2 ip = 0.28(3) and hx 2 iK = 0.27(2) .

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Contributors

Author: J. Flynn

Author: A. Juttner

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