Hadronic decays from the lattice

Details Hadronic decays from the lattice Hadronic decays from the lattice

2003-09-15

arxiv.org/abs/hep-lat/0309073v1

Nucl.Phys.Proc.Suppl.129:215-217,2004

Physics

High Energy Physics

High Energy Physics - Lattice

Proc. Latt03 (spectrum), 3 pages, 4 figs

Scientific paper

10.1016/S0920-5632(03)02534-9

We discuss strategies to determine hadronic decay couplings from lattice studies. As an application, we explore the decay of a vector meson to two pseudoscalar mesons with $N_f=2$ flavours of sea quark. Although we are working with quark masses that do not allow a physical decay, we show how the transition rate can be evaluated from the amplitude for $\rho \to \pi \pi$ and from the annihilation component of $\pi \pi \to \pi \pi$. We explore the decay amplitude for two different pion momenta and find consistent results. The coupling strength we find is in agreement with experiment. We also find evidence for a shift in the $\rho$ mass caused by mixing with two pion states.

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