  Statistically significant tensions between the Standard Model (SM)
predictions and the measured lepton distributions in differential top
cross-sections emerged in LHC Run~1 data and became even more pronounced in
Run~2 analyses. Due to the level of sophistication of the SM predictions and
the performance of the ATLAS and CMS detectors, this is very remarkable.
Therefore, one should seriously consider the possibility that these
measurements are contaminated by beyond-the-SM contributions. In this article,
we use differential lepton distributions from the latest ATLAS $t\bar t$
analysis to study a new physics benchmark model motivated by existing
indications for new Higgses: a new scalar $H$ is produced via gluon fusion and
decays to $S^\prime$ ($95\,$GeV) and $S$ ($152\,$GeV), which subsequently decay
to $b\bar b$ and $WW$, respectively. In this setup, the total $\chi^2$ is
reduced, compared to the SM, resulting in $\Delta\chi^2=34$ to
$\Delta\chi^2=158$, depending on the SM simulation used. Notably, allowing
$m_S$ to vary, the combination of the distributions points towards
$m_S\!\approx\!150\,$GeV which is consistent with the existing $\gamma \gamma$
and $WW$ signals, rendering a mismodelling of the SM unlikely. Averaging the
results of the different SM predictions, a non-vanishing cross-section for
$pp\to H\to SS^\prime\to b\bar b WW$ of $\approx\!13$pb is preferred. If
$S^\prime$ is SM-like, this cross-section, at the same time explains the
$95\,$GeV $\gamma\gamma$ excess, while the dominance of $S\to WW$ suggests that
$S$ is the neutral component of the $SU(2)_L$ triplet with hypercharge~0.
