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- W2899016875 abstract "Third QED order hadronic light-by-light (LBL) contributions $a_mu^{LBL}(M)$ to the anomalous magnetic moment of the muon $a_mu^{had}$ from the pole terms of scalar $sigma$, $a_0(980)$ and pseudoscalar $pi^0$, $eta$, $eta '$ mesons (M) in the framework of the linearized extended Nambu-Jona-Lasinio model are evaluated. The off-shell structure of the photon-photon-meson vertices is taken into account by means of constituent quark triangle loops. The mass of the quark is taken to be $m_u=m_d=m_q=(280 pm 20)$ MeV. The unknown strong coupling constants of $pi^0, eta, eta '$ and $a_0$ mesons with quarks are evaluated in a comparison of the corresponding theoretical two-photon widths calculated in the framework of our approach with experimental ones. The $sigma$-meson coupling constant is taken to be equal to $pi_0$-meson coupling constant as it follows from the linearized Nambu-Jona-Lasinio model Lagrangian. Then one obtains $a_mu^{LBL}(pi_0)$=$(81.83 pm 16.50) times 10^{-11}$, $a_mu^{LBL}(eta)$=$(5.62 pm 1.25) times 10^{-11}$, $a_mu^{LBL}(eta ')$=$(8.00 pm 1.74) times 10^{-11}$, $a_mu^{LBL}(sigma)$=$(11.67 pm 2.38) times 10^{-11}$ and $a_mu^{LBL}(a_0)$=$(0.62 pm 0.24) times 10^{-11}$. The total contribution of meson poles in LBL is $a_mu^{LBL}(M)$=$(107.74 pm 16.81) times 10^{-11}$." @default.
- W2899016875 created "2018-11-09" @default.
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- W2899016875 date "2001-06-08" @default.
- W2899016875 modified "2023-10-05" @default.
- W2899016875 title "Scalar and Pseudoscalar Meson Pole Terms in the Hadronic Light-by-light Contributions to Muon Anomalous Magnetic Moment" @default.
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