Search for sub-GeV Scalars in $e^{+}{e}^{-}$ collisions

Abstract

Light scalars that couple to leptons are common figures in beyond the Standard Model endeavors. Considering a scalar that has universal and couplings to leptons only, we compute this leptophilic scalar contribution to the $e^{-}{e}^{+}\to {\tau }^{+}{\tau }^{-}S$ production cross section with $S\to e^{+}{e}^{-}({\mu }^{+}{\mu }^{-})$. We later compare the expected signal with recent data from the BELLE collaboration collected near the resonance ${\rm Y}(4S)$ with $\mathcal{L}=626f{b}^{-1}$ of integrated luminosity to place limits on the couplings-mass plane for the $4$~MeV-$6.5$~GeV mass range. We then extended this analysis to a more general one $e^{-}{e}^{+}\to {\ell }^{+}{\ell }^{-}S$ production cross section where $\ell =e,\mu ,\tau$ with $S\to e^{+}{e}^{-}({\mu }^{+}{\mu }^{-})$, showing that BELLE constitutes an excellent laboratory for light scalars, where can be derived constraints stronger than those derived stemming from the g-2 of the electron or muon.

8 pages, 4 figures

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