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Hadron-Hadron Interactions from N_f=2+1+1 Lattice QCD: The rho-resonance

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arxiv 1907.01237 v2 pith:IWQDWJAE submitted 2019-07-02 hep-lat

Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: The $\rho$-resonance

Markus Werner , Martin Ueding , Christopher Helmes , Christian Jost , Bastian Knippschild , Bartosz Kostrzewa , Chuan Liu , Liuming Liu
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Bernard Metsch Marcus Petschlies Carsten Urbach
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classification hep-lat
keywords latticemassrho-mesonwidthcurvesdeterminedensemblesextrapolated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an investigation of the Rho-meson from Nf=2+1+1 flavour lattice QCD. The calculation is performed based on gauge configuration ensembles produced by the ETM collaboration with three lattice spacing values and pion masses ranging from 230 MeV to 500 MeV. Applying the L\"uscher method phase shift curves are determined for all ensembles separately. Assuming a Breit-Wigner form, the Rho-meson mass and width are determined by a fit to these phase shift curves. Mass and width combined are then extrapolated to the chiral limit, while lattice artefacts are not detectable within our statistical uncertainties. For the Rho-meson mass extrapolated to the physical point we find good agreement with experiment. The corresponding decay width differs by about two standard deviations from the experimental value.

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