6533b7dafe1ef96bd126f4b6

RESEARCH PRODUCT

ηandη′transition form factors from rational approximants

Pere MasjuanPablo Sanchez-puertasRafel Escribano

subject

PhysicsQuantum chromodynamicsNuclear and High Energy PhysicsMixing (mathematics)Anomalous magnetic dipole momentScatteringQuantum mechanicsHadronZero (complex analysis)High Energy Physics::ExperimentNuclear ExperimentCurvature

description

The $\ensuremath{\eta}$ and ${\ensuremath{\eta}}^{\ensuremath{'}}$ transition form factors in the spacelike region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form factors as well as their values at zero and infinity are extracted from experimental data. The impact of these results on the mixing parameters of the $\ensuremath{\eta}$-${\ensuremath{\eta}}^{\ensuremath{'}}$ system and the pseudoscalar-exchange contributions to the hadronic light-by-light scattering part of the anomalous magnetic moment ${a}_{\ensuremath{\mu}}$ are also discussed.

https://doi.org/10.1103/physrevd.89.034014