Abstract
A dispersive implementation of the a0(980) resonance to (š ā 2)Āµ requires the knowledge of the double-virtual S-wave Ī³ * Ī³ * ā ĻĪ· / KKĀÆI = 1 am plitudes. To obtain these amplitudes we used a modified coupled-channel Muskhelishvili-OmnĆØs formalism, with the input from the left-hand cuts and the hadronic OmnĆØs 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 ĻĪ· and KKĀÆ final states. This yields the preliminary dispersive estimate aĪ¼HLbL[a0(980)]resc. = -0.46(2) Ć 10-11.
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