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We study the $\rho\pi$ and $b_1\pi$ decay modes of the $1^{-+}$ light hybridstate within the framework of light-cone QCD sum rules. We use both the tensorcurrent $\bar\psi\sigma_{\mu\nu}\psi$ and the derivative current$\bar{\psi}\overleftrightarrow{D}_\mu\gamma_5\psi$ as interpolating currents tocalculate the partial decay width of the $b_1\pi$ decay mode. Comparing the sumrules obtained by using different currents, we obtain $\Gamma(\pi_1\to b_1\pi)$= 8--23, 32--86 and 52--151\,MeV for $m_{1^{-+}}$ = 1.6, 1.8 and 2.0\,GeVrespectively, which favour the results from the flux tube models and latticesimulations. We also use the tensor current to study the $\rho\pi$ decay mode,and although an extended stability criterion is needed, our results suggest asmall partial decay width.

Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules