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The $\rho$-resonance with physical pion mass from $N_f=2$ lattice QCD

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arxiv 2006.13805 v1 pith:MLLUZ7T5 submitted 2020-06-24 hep-lat hep-ph

Matthias Fischer , Bartosz Kostrzewa , Maxim Mai , Marcus Petschlies , Ferenc Pittler , Martin Ueding , Carsten Urbach , Markus Werner (for the ETM collaboration) This is my paper · ORCID
classification hep-lathep-ph
keywords masspionphysicalincludinglatticesystematicuncertaintiesvalue
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the first-ever lattice computation of pi pi-scattering in the I=1 channel with Nf=2 dynamical quark flavours obtained including an ensemble with physical value of the pion mass. Employing a global fit to data at three values of the pion mass, we determine the universal parameters of the rho-resonance. We carefully investigate systematic uncertainties by determining energy eigenvalues using different methods and by comparing inverse amplitude method and Breit-Wigner type parametrizations. Overall, we find mass 786(20) MeV and width 180(6) MeV, including statistical and systematic uncertainties. In stark disagreement with the previous Nf=2 extrapolations from higher than physical pion mass results, our mass value is in good agreement with experiment, while the width is slightly too high.

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  1. Global parametrizations of $\pi\pi$ scattering with dispersive constraints: Beyond the S0 wave

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New global, dispersion-constrained parametrizations for the S2, P, D, F, and G pion-pion partial waves, valid to roughly 1.8 to 2.1 GeV.

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