Coupled-channel $J^{--}$ meson resonances from lattice QCD

Abstract

We extend an earlier calculation within lattice QCD of excited light meson resonances with $J^{PC}=1^{--},2^{--},3^{--}$ at the SU(3) flavor point in the singlet representation, by considering the octet representation. In this case the resonances appear in coupled-channel amplitudes, which we determine, establishing the relative strength of pseudoscalar-pseudoscalar to pseudoscalar-vector decays. Combining the new octet results with the prior results for the singlet, we perform a plausible extrapolation to the physical quark mass, and compare to experimental ${\rho }_J^{\star },K_J^{\star },{\omega }_J^{\star }$ and ${\varphi }_J^{\star }$ resonances.