1305.1414 (A. I. Ahmadov et al.)

Final state emission radiative corrections to the process $e^+e^- \to
π^+π^-(γ)$. Contribution to muon anomalous magnetic moment    [PDF]

A. I. Ahmadov, E. A. Kuraev, M. K. Volkov, O. O. Voskresenskaja, E. V. Zemlyanaya

Analytic calculation of contribution to anomalous magnetic moment of muon from the channels of annihilation of electron-positron pair to the pair of charged pi-meson with radiative correction connected with final state, as well as corrections to the lowest order kernell are presented. The result with the point-like pi-meson assumptions is $a_{point}=a_{point}^{(1)}+\Delta a_{point}$, $a_{point}^{(1)}=7.0866 \cdot 10^{-9}; \Delta a_{point}= -2.4 \cdot 10^{-10}.$ Taking into account the pion form factor in frames of Nambu-Iona-Lasinio (NIL) approach leads to $a_{NIL}=a_{NIL}^{(1)}+\Delta a_{NIL}$, $a_{NIL}^{(1)}= 5.48\cdot 10^{-8}; \Delta a_{NIL}=-3.43\cdot 10^{-9}$.

View original: http://arxiv.org/abs/1305.1414