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arXiv · 1011.2883

Light Meson Distribution Amplitudes

R. Arthur·P. A. Boyle·D. Brömmel·M. A. Donnellan·J. M. Flynn·A. Jüttner·H. Pedroso de Lima·T. D. Rae·C. T. Sachrajda·B. Samways
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Abstract

We calculated the first two moments of the light-cone distribution amplitudes for the pseudoscalar mesons ($π$ and $K$) and the longitudinally polarised vector mesons ($ρ$, $K^*$ and $ϕ$) as part of the UKQCD and RBC collaborations' $N_f=2+1$ domain-wall fermion phenomenology programme. These quantities were obtained with a good precision and, in particular, the expected effects of $SU(3)$-flavour symmetry breaking were observed. Operators were renormalised non-perturbatively and extrapolations to the physical point were made, guided by leading order chiral perturbation theory. The main results presented are for two volumes, $16^3\times 32$ and $24^3\times 64$, with a common lattice spacing. Preliminary results for a lattice with a finer lattice spacing, $32^3\times64$, are discussed and a first look is taken at the use of twisted boundary conditions to extract distribution amplitudes.

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R. Arthur, P. A. Boyle, D. Brömmel, M. A. Donnellan, J. M. Flynn, A. Jüttner, H. Pedroso de Lima, T. D. Rae, C. T. Sachrajda, B. Samways. 2010-11-12. Light Meson Distribution Amplitudes. https://arxiv.org/abs/1011.2883

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