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Lattice study of pion-pion scattering using Nf=2+1 Wilson improved quarks with masses down to their physical values

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arxiv 1410.8447 v1 pith:TXEUNHUO submitted 2014-10-30 hep-lat hep-phnucl-th

Thibaut Metivet (on behalf of the Budapest-Marseille-Wuppertal collaboration) This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords mathrmscatteringdatadependenceimprovedlatticemassespion
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use 2HEX smeared gauge configurations generated with an $\mathrm{N}_\mathrm{f}\mathrm{=2+1}$ clover improved Wilson action to investigate $\pi\pi$ scattering in the $\rho$ channel. The range of lattice spacings (0.054 to 0.12 fm) and space-like extents (32 and 48) allows us to extract the scattering parameters through the volume dependence of the $\pi\pi$-state energies according to L\"uscher's formalism. The pion masses (134 to 300 MeV) are light enough to allow the decay of the rho and the level repulsion observed indicates that our data are sensitive to the interaction. We analyse our data with a multi-channel GEVP variational formula. Our results are in good agreement with the experimental values and consistent with a weak pion mass dependence of the $\rho\pi\pi$ coupling constant.

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  1. Spectral parameters of the $\rho$ resonance from lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    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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