Radiative vertex $VPγ$ and $η-η'$ mixing in light-cone sum rules

In this work, we calculate radiative vertex $VPγ$ ($V=ϕ,ω,ρ$ and $P=η,η'$) by utilizing $ω-ϕ$ mixing scheme and taking into account the contributions of the three-particle twist-4 distribution amplitudes of the photon in QCD sum rules on light cone. According to experimental data of $V\rightarrow Pγ$ and $P\rightarrow Vγ$ from PDG, a value of the $η-η^\prime$ mixing angle, $ϕ=(40.9\pm0.5)^\circ$, is extracted in the framework of the quark-flavor basis to describe the $η-η^\prime$ system.

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