Hadronic decay of a vector meson from the lattice
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We explore the decay of a vector meson to two pseudoscalar mesons on the lattice 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 $ρ\to ππ$ and from the annihilation component of $ππ\to ππ$. 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 $ρ$ mass caused by mixing with two pion states.
13 pages, version as accepted for Physics Letters B
13 pages, version as accepted for Physics Letters B