Abstract
Numerical simulations with access to all possible meson quantum numbers ${J}^{PC}$ are presented using two-flavor (up and down) quenched twisted mass lattice QCD with three different lattice spacings and four different quark masses. The connection between the quantum numbers ($P$ and $C$) and the symmetries of the twisted mass action is discussed, as is the connection between $J$ and the lattice rotation group, for the 400 operators used in this study. Curve fitting of this large data set is accomplished by using an evolutionary fitting algorithm. Results are reported for conventional and exotic quantum numbers.
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