Hadronic decay of a vector meson from the lattice

Details Hadronic decay of a vector meson from the lattice Hadronic decay of a vector meson from the lattice

2002-12-13

arxiv.org/abs/hep-lat/0212020v2

Phys.Lett.B556:177-184,2003

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, version as accepted for Physics Letters B

Scientific paper

10.1016/S0370-2693(03)00130-8

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 $\rho \to \pi \pi$ 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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