A phenomenological note on the missing ${\rho }_2$ meson

The ${\rho }_2$ meson is the missing isovector member of the meson nonet with the quantum numbers $J^{PC}=2^{--}$. It belongs to the class of $\rho$-mesons such as the vector meson $\rho (770)$, the excited vector $\rho (1700)$ and the tensor ${\rho }_3(1690)$. Yet, despite the rich experimental and theoretical studies for other $\rho$-meson states, no resonance that could be assigned to the ${\rho }_2$ meson has been measured. In this note, we present the results for the mass and dominant decay channels of the ${\rho }_2$ meson within the extended Linear Sigma Model.