Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics

A truncated partial-wave analysis is performed for $\eta$-photoproduction using the polarization observables ${\sigma }_0,\mathrm{\Sigma },T,E,F$ and $G$. Different truncation orders are analyzed for six energy bins within the range of $E_{\gamma }^{lab}\in [750,1250]$ MeV. Bayesian statistics is combined with truncated partial-wave analysis for the first time to investigate the structure of emerging ambiguities and their relevance in comparison to each other. Marginal distributions for the electromagnetic multipole parameters are presented together with predictions for polarization observables which have not yet been measured, in order to determine promising future measurements able to remove remaining mathematical ambiguities.