η and η ′ decays into lepton pairs

In this work, we calculate the branching ratios for the $$ eta left(eta^{prime}right)to overline{ell}ell $$ decays, where ℓ = e,μ. these processes have tiny rates in the standard model due to spin flip, loop and electromagnetic suppressions, which could make them sensitive to new physics effects. in order to provide a reliable input for the standard model, we exploit the general analytical properties of the amplitude. for that purpose, we invoke the machinery of canterbury approximants, which provides a systematic description of the underlying hadronic physics in a data-driven fashion. given the current experimental discrepancies, we discuss in detail the role of the resonant region and comment on the reliability of χpt calculations. finally, we discuss the kind of new physics which we think would be relevant to account for them.