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Studying the $\rho$ resonance parameters with staggered fermions

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arxiv 1608.07478 v1 pith:N2HSN7UG submitted 2016-08-26 hep-lat

classification hep-lat
keywords latticeresonanceparametersfermionsphasesscatteringstaggeredallows
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We deliver a lattice study of $\rho$ resonance parameters with p-wave $\pi\pi$ scattering phases, which are extracted by finite-size methods at one center-of-mass frame and four moving frames for six MILC lattice ensembles with pion masses ranging from $346$ to $ 176$ MeV. The effective range formula is applied to describe the scattering phases as a function of the energy covering the resonance region, this allows us to extract $\rho$ resonance parameters and to investigate the quark-mass dependence. Lattice studies with three flavors of the Asqtad-improved staggered fermions enable us to use the moving-wall source technique on large lattice spatial dimensions ($L=64$) and small light $u/d$ quarks. Numerical computations are carried out at two lattice spacings, $a \approx 0.12$ and $0.09$ fm.

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Cited by 3 Pith papers

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    Virtual electromagnetic corrections largely cancel radiative-channel contributions in data-driven HVP evaluations for muon g-2, reconciling timelike and spacelike methods via a VMD model.

  2. 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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    hep-ph 2025-01 conditional novelty 6.0 of 10

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