Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC

Abstract

Motivated by the recent observation of the pseudoscalar toponium ${\eta }_t$ at the LHC and by the ongoing interest in its properties, we phenomenologically investigate the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ process, one of the characteristic decays of toponium ${\eta }_t$. The branching ratio for the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay is estimated with two scenarios of the decay constant $f_{{\eta }_t}$. It is found that tens of dilepton events from the cascade decays, ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ $\to$ ${\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime +}{\nu }_{{\ell }^{\prime }}$ with $\ell$, ${\ell }^{\prime }$ $=$ $e$ and $\mu$, could be experimentally observed, when considering the realistic identification efficiency of the charged lepton and assuming more than $3\times 10^7$ ${\eta }_t$ events available at the future HL-LHC. We propose searching for ${\eta }_t$ via the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ $\to$ ${\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime +}{\nu }_{{\ell }^{\prime }}$ channel, which features no $b$-jets and clean dilepton signatures, thus offering a complementary and potentially more sensitive probe.

20 pages

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