Table 4.

Event selections applied in the $2\ell \mathrm{OS}+1{\mathrm{\tau }}_{\mathrm{h}}$ and $4\ell +0{\mathrm{\tau }}_{\mathrm{h}}$ channels. The symbol “–” indicates that no requirement is applied

Selection step	$2\ell \mathrm{OS}+1{\mathrm{\tau }}_{\mathrm{h}}$	$4\ell +0{\mathrm{\tau }}_{\mathrm{h}}$
Targeted $\mathrm{t}\overline{\mathrm{t}}\mathrm{H}$ decays	$\mathrm{t}\to \mathrm{b}\ell \mathrm{\nu }$, $\mathrm{t}\to \mathrm{b}\mathrm{q}{\mathrm{q}}^{\prime }$ with	$\mathrm{t}\to \mathrm{b}\ell \mathrm{\nu }$, $\mathrm{t}\to \mathrm{b}\ell \mathrm{\nu }$ with
	$\mathrm{H}\to {\mathrm{\tau }}^{+}{\mathrm{\tau }}^{-}\to \ell \mathrm{\nu }\mathrm{\nu }{\mathrm{\tau }}_{\mathrm{h}}\mathrm{\nu }$	$\mathrm{H}\to \mathrm{W}\mathrm{W}\to \ell \mathrm{\nu }\ell \mathrm{\nu }$
		$\mathrm{t}\to \mathrm{b}\ell \mathrm{\nu }$, $\mathrm{t}\to \mathrm{b}\ell \mathrm{\nu }$ with
		$\mathrm{H}\to \mathrm{Z}\mathrm{Z}\to \ell \ell \mathrm{q}{\mathrm{q}}^{\prime }$ or $\ell \ell \mathrm{\nu }\mathrm{\nu }$
Trigger	Single- and double-lepton triggers	Single-, double- and triple-lepton triggers
Lepton $p_{\mathrm{T}}$	$p_{\mathrm{T}}>25$ / $15\text{GeV}$ ($\mathrm{e}$) or $10\text{GeV}$ ($\mathrm{\mu }$)	$p_{\mathrm{T}}>25$ / 15 / 15 / $10\text{GeV}$
Lepton $\eta$	$|\eta |<2.5$ ($\mathrm{e}$) or 2.4 ($\mathrm{\mu }$)	$|\eta |<2.5$ ($\mathrm{e}$) or 2.4 ($\mathrm{\mu }$)
${\mathrm{\tau }}_{\mathrm{h}}$ $p_{\mathrm{T}}$	$p_{\mathrm{T}}>20\text{GeV}$	–
${\mathrm{\tau }}_{\mathrm{h}}$ $\eta$	$|\eta |<2.3$	–
${\mathrm{\tau }}_{\mathrm{h}}$ identification	Tight	–
Charge requirements	${\sum }_{\ell }q=0$ and ${\sum }_{\ell ,{\mathrm{\tau }}_{\mathrm{h}}}q=\pm 1$	${\sum }_{\ell }q=0$
Multiplicity of central jets	$\ge$3 jets	$\ge$2 jets
$\mathrm{b}$ tagging requirements	$\ge$1 tight $\mathrm{b}$-tagged jet or $\ge$2 loose $\mathrm{b}$-tagged jets	$\ge$1 tight $\mathrm{b}$-tagged jet or $\ge$2 loose $\mathrm{b}$-tagged jets
Missing transverse momentum	$L_{\mathrm{D}}>30{\text{GeV}}^{†}$	$L_{\mathrm{D}}>0$ / 30 / $45{\text{GeV}}^{‡}$
Dilepton invariant mass	$m_{\ell \ell }>12\text{GeV}$	$|m_{\ell \ell }-m_{\mathrm{Z}}|>10{\text{GeV}}^{\S }$ and $m_{\ell \ell }>12\text{GeV}$
Four-lepton invariant mass	–	$m_{4\ell }>140{\text{GeV}}^{\mathrm{\P }}$

${}^{†}$ Only applied to events containing two electrons

${}^{‡}$ A complete description of this requirement can be found in the main text

${}^{\S }$ Applied to all SFOS lepton pairs

${}^{\mathrm{\P }}$ If the event contains two SFOS pairs of leptons passing the loose lepton selection criteria