Dispersive Approach to Abelian Axial Anomaly and $η-η'$ Mixing

Klopot, Y. N.; Oganesian, A. G.; Teryaev, O. V.

Dispersive Approach to Abelian Axial Anomaly and $η-η'$ Mixing

Authors

Klopot, Y. N.

Oganesian, A. G.

Teryaev, O. V.

Description

We investigate what can be learnt about the $η$ -$η'$ mixing by means of dispersive representation of axial anomaly. We show that our method leads to the strong bounds for the $η-η'$ mixing angle: $θ= -15.3^o \pm 1^o$. Moreover, our result manifests also a dramatic dependence of the width $Γ_{η\to 2γ}$ on the mixing angle $θ$. This property explains how the relatively small mixing strongly effects the decay width.
11 pages, 4 figures