A dispersive estimate of the a0(980) contribution to hadronic light-by-light scattering in (𝑔 − 2)µ

A dispersive implementation of the a0(980) resonance to (𝑔 − 2)µ requires the knowledge of the double-virtual S-wave γ * γ * → πη / KK¯I = 1 am plitudes. To obtain these amplitudes we used a modified coupled-channel Muskhelishvili-Omnès formalism, with the input from the left-hand cuts and the hadro...

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Bibliographic Details
Main Authors: Deineka Oleksandra, Danilkin Igor, Vanderhaeghen Marc
Format: Article
Language:English
Published: EDP Sciences 2024-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2024/01/epjconf_meson2023_02011.pdf
Description
Summary:A dispersive implementation of the a0(980) resonance to (𝑔 − 2)µ requires the knowledge of the double-virtual S-wave γ * γ * → πη / KK¯I = 1 am plitudes. To obtain these amplitudes we used a modified coupled-channel Muskhelishvili-Omnès formalism, with the input from the left-hand cuts and the hadronic Omnès 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 πη and KK¯ final states. This yields the preliminary dispersive estimate aμHLbL[a0(980)]resc. = -0.46(2) × 10-11.
ISSN:2100-014X