Possible partner state of the Y(2175)

We study the $Y(2175)$ using the method of QCD sum rules. There are two independent $ss\overline{s}\overline{s}$ interpolating currents with $J^{PC}=1^{--}$, and we calculate both their diagonal and their off-diagonal correlation functions. We obtain two new currents that do not strongly correlate to each other, so they may couple to two different physical states: one of them couples to the $Y(2175)$, while the other may couple to another state whose mass is evaluated to be $2.41\pm 0.25\mathrm{GeV}$. Evidence of the latter state can be found in the BABAR [B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 76, 012008 (2007)], BESII [M. Ablikim et al. (BES Collaboration), Phys. Rev. Lett. 100, 102003 (2008)], Belle [C. P. Shen et al. (Belle Collaboration), Phys. Rev. D 80, 031101 (2009)], and BESIII [M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 91, 052017 (2015)] experiments.