QCD Anomaly Coupling for the $η'-g-g$ Vertex in Inclusive Decay $B\toη' X_s$

Abstract

The QCD anomaly coupling of $η'-g-g$ is treated as the axial vector current triangle anomaly. By assuming the divergent axial vector coupling of the $η'$ meson with the quark line in the triangle diagram, we calculate the QCD anomaly of $η'-g-g$ as well as the QED anomaly of $η'-γ-γ$ with only one common parameter $κ_{η'}$. We obtain consistent results of the branching ratios for $B\toη' X_s, J/ψ\toη'γ$ and $η'\to γγ$ when comparing with experimental data.