Contributions of semi-hadronic states $P\gamma ;S\gamma ,{\pi }^{+}{\pi }^{-}\gamma$ to amm of muon, in frames of Nambu-Jona-Lasinio model

Abstract

We calculate the contribution of semi-hadronic states with pseudoscalar $P={\pi }^0,\eta$ and scalar ($\sigma$(550))meson accompanied with real photon as an intermediate state of a heavy photon to the anomalous magnetic moment of muon. We consider the intermediate states with ${\pi }_0$ and $\sigma$ as a hadrons in frames of Nambu-Jona-Lasinio model. The contribution of ${\pi }_0\gamma$ state is in agreement with results obtained in previous theoretical considerations as well as with experimental data $a_{\mu }^{{\pi }_0\gamma }\approx 4.5\times 10^{-10}$, besides we estimate $a_{\mu }^{\eta \gamma }=0.7\times 10^{-10},a_{\mu }^{\sigma \gamma }\sim 1.5\times 10^{-11},a_{\mu }^{{\pi }^{+}{\pi }^{-}\gamma }\sim 3.2\times 10^{-10}.$ We discass as well the LbL mechanism with $a_{\mu }^{lbl}=10.5\cdot 10^{-10}.$

Comments: 6 pages, 2 figures