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Lattice QCD Calculation of the $\rho$ Meson Decay Width

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arxiv 0708.3705 v1 pith:DSNGC5H4 submitted 2007-08-28 hep-lat

CP-PACS Collaboration : S. Aoki , M. Fukugita , K-I. Ishikawa , N. Ishizuka , K. Kanaya , Y. Kuramashi , Y. Namekawa , M. Okawa
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K. Sasaki A. Ukawa T. Yoshié
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classification hep-lat
keywords latticecalculationdecaymassmesonphaseshiftwidth
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present a lattice QCD calculation of the $\rho$ meson decay width via the $P$-wave scattering phase shift for the I=1 two-pion system. Our calculation uses full QCD gauge configurations for $N_f=2$ flavors generated using a renormalization group improved gauge action and an improved Wilson fermion action on a $12^3\times24$ lattice at $m_\pi/m_\rho=0.41$ and the lattice spacing $1/a=0.92 {\rm GeV}$. The phase shift calculated with the use of the finite size formula for the two-pion system in the moving frame shows a behavior consistent with the existence of a resonance at a mass close to the vector meson mass obtained in spectroscopy. The decay width estimated from the phase shift is consistent with the experiment, when the quark mass is scaled to the realistic value.

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Cited by 4 Pith papers

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    Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.

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