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• W3103238766 endingPage "063102" @default.
• W3103238766 startingPage "063102" @default.
• W3103238766 abstract "We propose a strategy to access the $qbar{q}$ component of the $rho$ resonance in lattice QCD. Through a mixed action formalism (overlap valence on domain wall sea), the energy of the $qbar{q}$ component is derived at different valence quark masses, and shows a linear dependence on $m_pi^2$. The slope is determined to be $c_1=0.505(3),{rm GeV}^{-1}$, from which the valence $pi rho$ sigma term is extracted to be $sigma_{pi rho}^{(rm val)}=9.82(6)$ MeV using the Feynman-Hellman theorem. At the physical pion mass, the mass of the $qbar{q}$ component is interpolated to be $m_rho=775.9pm 6.0pm 1.8$ MeV, which is close to the $rho$ resonance mass. We also obtain the leptonic decay constant of the $qbar{q}$ component to be $f_{rho^-}=208.5pm 5.5pm 0.9$ MeV, which can be compared with the experimental value $f_{rho}^{rm exp}approx 221$ MeV through the relation $f_{rho}^{rm exp}=sqrt{Z_rho}f_{rho^pm} $ with $Z_rhoapprox 1.13$ being the on-shell wavefunction renormalization of $rho$ owing to the $rho-pi$ interaction. We emphasize that $m_rho$ and $f_rho$ of the $qbar{q}$ component, which are obtained for the first time from QCD, can be taken as the input parameters of $rho$ in effective field theory studies where $rho$ acts as a fundamental degree of freedom." @default.
• W3103238766 created "2020-11-23" @default.
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• W3103238766 date "2018-05-01" @default.
• W3103238766 modified "2023-10-18" @default.
• W3103238766 title "Anatomy of the ρ resonance from lattice QCD at the physical point" @default.
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• W3103238766 doi "https://doi.org/10.1088/1674-1137/42/6/063102" @default.
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