Speaker
Igor Danilkin
(Johannes Gutenberg University Mainz)
Description
A dispersive implementation of the $\pi\eta/K\bar{K}$ scattering to $(g-2)_\mu$ requires the knowledge of the double-virtual $S$-wave $\gamma^*\gamma^*\to\pi\eta/ K\bar{K}_{I=1}$ amplitudes. To obtain these amplitudes we used a modified coupled-channel Muskhelishvili–Omnes formalism, with the input from the left-hand cuts and the hadronic Omnes function. The latter were obtained using a data-driven $N/D$ method in which the fits were performed to the different sets of experimental data on two-photon fusion processes with $\pi\eta$ and $K\bar{K}$ final states. The preliminary dispersive estimate $(g-2)_\mu^{\text{HLbL}}[a_0(980)]_{\text{resc.}}$ will be shown.
Primary authors
Igor Danilkin
(Johannes Gutenberg University Mainz)
Prof.
Marc Vanderhaeghen
(Johannes Gutenberg University Mainz)
Dr
Oleksandra Deineka
(Johannes Gutenberg University Mainz)
