Abstract
Data-driven model-independent predictions for the dilepton invariant mass spectra and branching ratios of the single and double Dalitz decays η (′) → l + l − γ and η (′) → l + l − l + l − ( l = e or μ ) are provided by means of an approach based on the use of rational approximants applied to the available experimental data in the space-like region of the η and η ′ transition form factors.
Highlights
In this talk I have provided data-driven model-independent predictions for the dilepton invariant mass spectra and integrated branching ratios (BRs) of the single and double Dalitz decays η( ) → + −γ and η( ) → + − + − with = e or μ
For a detailed and exhaustive analysis of all the processes considered, including the π0 ones not reported here, I refer to the original work in Ref. [1]
Our approach is based on the use of rational approximants applied to the available experimental data in the space-like region of the η and η transition form factors (TFFs) [2]
Summary
Our approach is based on the use of rational approximants applied to the available experimental data in the space-like region of the η and η transition form factors (TFFs) [2]. It is defined as model independent because we are able to ascribe a conservative systematic error to our predictions. In this sense, the traditional VMD description of the TFF in terms of a monopole used commonly by experimental collaborations must be considered only as a first step in this systematic approximation. For the case of the double Dalitz decays, which demand TFFs of double virtuality not yet experimentally available, we have made use of the factorization hypothesis stating that the normalised version of the doublevirtual TFFs is nothing else than the product of the two single-virtual TFFs
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