Reconstructing a light pseudoscalar in the Type-X Two Higgs Doublet Model

Abstract

We investigate the detectability as well as reconstructibility of a light pseudoscalar particle $A$, of mass in the 50 - 60 GeV range, which is still allowed in a Type-X (lepton-specific) two-Higgs doublet scenario. Such a pseudoscalar can be pair-produced in the decay $h\to AA$ of the 125 GeV scalar $h$. The light pseudoscalar in the aforementioned range, helpful in explaining the muon anomalous magnetic moment, has not only substantial branching ratio in the ${\tau }^{+}{\tau }^{-}$ channel but also one of about $0.35\%$ in the ${\mu }^{+}{\mu }^{-}$ final state. We show how to faithfully reconstruct the $A$ mass using the ${\mu }^{+}{\mu }^{-}$ mode, and establish the existence of a pseudoscalar around 50 - 60 GeV, using the process $pp\to h\to AA\to {\mu }^{+}{\mu }^{-}{\tau }^{+}{\tau }^{-}$. This is the most reliable way of reconstructing the light $A$ mass, and is possible for an integrated luminosity of about $100{\mathrm{fb}}^{-1}$ or less at 14 TeV, with a statistical significance that amounts to discovery.

v2: version published in PLB. 13 pages, 6 figures, 3 tables

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