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Profile likelihood in $M_I$ vs $U_{eI}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $U_{eI}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from direct searches with PS191, $e$-channel, in the $M_1-|U_\tau 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from the prompt searches with DELPHI, in the $M_1-|U_\mu 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_1-|U_\tau 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\tau I}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from direct searches with CMS, $e$-channel, in the $M_1-|U_e1|^2$ plane.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_1-|U_\mu 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\tau I}^2$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from direct searches with E949, $\mu$-channel, in the $M_1-|U_\mu 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_I^2$ plane for normal (left) and inverted hierarchy (right). Overlaid are the lowest limits for various values of $m_{\nu_0}$ \cite{Drewes:2019mhg}. Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $U_I^2$ plane for normal (left) and inverted hierarchy (right). Overlaid are the lowest limits for various values of $m_{\nu_0}$ \cite{Drewes:2019mhg}. Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Partial likelihood from lepton flavour violating decays $\mu \to e\gamma$, in the $M_1-|U_\mu 1|^2$ plane.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_1-|U_e1|^2$ plane.

Profile likelihood in $M_I$ vs $|U_{eI}U_{\mu I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $|U_{eI}U_{\mu I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $|U_{eI}U_{\tau I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood for $U_{\alpha I}^2/U_I^2$ (in percent) in the limit of $n=2$ in the symmetry protected region for normal (left) and inverted (right) hierarchy. For the detailed cuts we refer to the text.

Profile likelihood in $M_I$ vs $|U_{eI}U_{\tau I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $|U_{\mu I}U_{\tau I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

Profile likelihood in $M_I$ vs $|U_{\mu I}U_{\tau I}|$ plane for normal (left) and inverted hierarchy (right). Tables with the 90\% and 95\% CLs for both hierarchies can be found in Zenodo~\cite{Zenodo_RHN}.

$U_{\alpha I}^2/U_I^2$ (in percent) for $m_{\nu_0} < 0.01$ meV (red), $m_{\nu_0} < 0.1$ meV (green), $m_{\nu_0} < 1$ meV (blue) and $m_{\nu_0} < 10$ meV (black). Solid (dashed) lines delineate the 1$\sigma$ (2$\sigma$) contours, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_I$ vs $U_{eI}^2$ plane with $M_I <10$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_I$ vs $U_{eI}^2$ plane with $M_I <10$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with CHARM, $e$-channel, in the $M_1-|U_e1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane with $M_I < 10$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane with $M_I < 10$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane with $M_I < 0.4$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with CMS, $\mu$-channel, in the $M_1-|U_\mu 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\mu I}^2$ plane with $M_I < 0.4$ GeV and overlaid direct detection limits, for normal (left) and inverted hierarchy (right).

$U_{\alpha I}^2/U_I^2$ (in percent) for different upper limits of $m_{\nu_0}$ (see legend). Solid (dashed) lines delineate the 1$\sigma$ (2$\sigma$) contours, for normal (left) and inverted hierarchy (right). As discussed in footnote \ref{FlavourMixingFootnote}, these constraints apply to those heavy neutrinos that can be found experimentally.

Partial likelihood from direct searches with PS191, $e$-channel, in the $M_1-|U_e1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{I}^2$ plane with overlaid lowest limits for various values of $m_{\nu_0}$ \cite{Drewes:2019mhg}, for normal (left) and inverted hierarchy (right).

$U_{\alpha I}^2/U_I^2$ (in percent) for different upper limits of $m_{\nu_0}$ (see legend). Solid (dashed) lines delineate the 1$\sigma$ (2$\sigma$) contours, for normal (left) and inverted hierarchy (right). As discussed in footnote \ref{FlavourMixingFootnote}, these constraints apply to those heavy neutrinos that can be found experimentally.

Upper limits on the coupling ratios $U_{\alpha I}^2/U_I^2$ within $2\sigma$ as a function of the lightest active neutrino mass $m_{\nu_0}$, for normal (left) and inverted hierarchy (right). As discussed in footnote \ref{FlavourMixingFootnote}, these constraints apply to those heavy neutrinos that can be found experimentally.

Upper limits on the coupling ratios $U_{\alpha I}^2/U_I^2$ within $2\sigma$ as a function of the lightest active neutrino mass $m_{\nu_0}$, for normal (left) and inverted hierarchy (right). As discussed in footnote \ref{FlavourMixingFootnote}, these constraints apply to those heavy neutrinos that can be found experimentally.

Profile likelihood for $U_{\alpha I}^2/U_I^2$ (in percent) in the limit of $n=2$ in the symmetry protected region for normal (left) and inverted (right) hierarchy. For the detailed cuts we refer to the text.

Profile likelihood for $U_{\alpha I}^2/U_I^2$ (in percent) in the limit of $n=2$ in the symmetry protected region for normal (left) and inverted (right) hierarchy. For the detailed cuts we refer to the text.

Partial likelihood from direct searches with CHARM, $\mu$-channel, in the $M_1-|U_\mu 1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\tau I}^2$ plane without likelihood cap showing the excesses due to the $\Gamma_{inv}$, CKM and $R_\tau$ constraints, for normal (left) and inverted hierarchy (right).

Partial likelihood from $\sin\theta_W$, in the $M_1-|U_e1|^2$ plane.

Profile likelihood in $M_I$ vs $U_{\tau I}^2$ plane without likelihood cap showing the excesses due to the $\Gamma_{inv}$, CKM and $R_\tau$ constraints, for normal (left) and inverted hierarchy (right).

One-dimensional profile likelihood for $U_{\tau 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $\Gamma_{Z}$, CKM and combination of the rest of constraints, $\mathcal{L}_0$, in the low mass region, $M_1 < 1$ GeV, for normal (left) and inverted hierarchy (right).

One-dimensional profile likelihood for $U_{\tau 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $\Gamma_{Z}$, CKM and combination of the rest of constraints, $\mathcal{L}_0$, in the low mass region, $M_1 < 1$ GeV, for normal (left) and inverted hierarchy (right).

One-dimensional profile likelihood for $U_{\tau 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $\Gamma_{Z}$, CKM , $R_\tau$ and combination of the rest of constraints, $\mathcal{L}_0$, in the high mass region, $M_1 > 60$ GeV, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with CHARM, $\tau$-channel, in the $M_1-|U_\tau 1|^2$ plane.

One-dimensional profile likelihood for $U_{\tau 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $\Gamma_{Z}$, CKM , $R_\tau$ and combination of the rest of constraints, $\mathcal{L}_0$, in the high mass region, $M_1 > 60$ GeV, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_1$ vs $U_{e 1}^2$ plane without likelihood cap showing the excesses due to the $R_K$ constraint, for normal (left) and inverted hierarchy (right).

Profile likelihood in $M_1$ vs $U_{e 1}^2$ plane without likelihood cap showing the excesses due to the $R_K$ constraint, for normal (left) and inverted hierarchy (right).

Partial likelihood from $\sin\theta_W$, in the $M_1-|U_\mu 1|^2$ plane.

One-dimensional profile likelihood for $U_{e 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $R_K$, CHARM and combination of the rest of constraints, $\mathcal{L}_0$, in the low mass region, $M_1 < 1$ GeV, for normal (left) and inverted hierarchy (right).

One-dimensional profile likelihood for $U_{e 1}^2$, $\mathcal{L}_{total}$, and partial likelihoods for $R_K$, CHARM and combination of the rest of constraints, $\mathcal{L}_0$, in the low mass region, $M_1 < 1$ GeV, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with PS191, $e$-channel, in the $M_I-|U_{eI}|^2$ plane.

Partial likelihood from direct searches with CHARM, $e$-channel, in the $M_I-|U_{eI}|^2$ plane.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_I-|U_{eI}|^2$ plane.

Partial likelihood from direct searches with PS191, $\mu$-channel, in the $M_1-|U_\mu 1|^2$ plane.

Partial likelihood from prompt searches with DELPHI, in the $M_I-|U_{eI}|^2$ plane.

Profile likelihood in $M_I$ vs $U_{I}^2$ plane with overlaid lowest limits for various values of $m_{\nu_0}$ \cite{Drewes:2019mhg}, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with CMS, $e$-channel, in the $M_I-|U_{eI}|^2$ plane.

Profile likelihood for $U_{\alpha I}^2/U_I^2$ (in percent) in the limit of $n=2$ in the symmetry protected region for normal (left) and inverted (right) hierarchy. For the detailed cuts we refer to the text.

Partial likelihood from $\sin\theta_W$, in the $M_I-|U_{eI}|^2$ plane.

Partial likelihood from direct searches with E949, $\mu$-channel, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from direct searches with PS191, $\mu$-channel, in the $M_I-|U_{\mu I}|^2$ plane.

$U_{\alpha I}^2/U_I^2$ (in percent) for $m_{\nu_0} < 0.01$ meV (red), $m_{\nu_0} < 0.1$ meV (green), $m_{\nu_0} < 1$ meV (blue) and $m_{\nu_0} < 10$ meV (black). Solid (dashed) lines delineate the 1$\sigma$ (2$\sigma$) contours, for normal (left) and inverted hierarchy (right).

Partial likelihood from direct searches with CHARM, $\mu$-channel, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from direct searches with NuTeV, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from the prompt searches with DELPHI, on the $M_1-|U_\tau 1|^2$ plane.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from direct searches with NuTeV, in the $M_1-|U_\mu 1|^2$ plane.

Partial likelihood from the prompt searches with DELPHI, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from prompt searches with DELPHI, in the $M_1-|U_e1|^2$ plane.

Partial likelihood from direct searches with CMS, $\mu$-channel, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from lepton flavour violating decays $\mu \to e\gamma$, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from $\sin\theta_W$, in the $M_I-|U_{\mu I}|^2$ plane.

Partial likelihood from the invisible decay width of the $Z$-boson, in the $M_1-|U_\tau 1|^2$ plane.

Partial likelihood from lepton flavour violating decays $\mu \to e\gamma$, in the $M_I-|U_{eI}U_{\mu I}|$ plane.

Partial likelihood from the lepton flavour violating $\mu -e$ conversion, in the $M_I-|U_{eI} U_{\mu I}|$ plane.

Partial likelihood from direct searches with CHARM, $\tau$-channel, in the $M_I-|U_{\tau I}|^2$ plane.

Partial likelihood from the long-lived particle searches with DELPHI, in the $M_I-|U_{\tau I}|^2$ plane.

Partial likelihood from the prompt searches with DELPHI, on the $M_I-|U_{\tau I}|^2$ plane.

Partial likelihood from direct searches with PS191, $e$-channel, in the $M_I-|U_{\tau I}|^2$ plane.

Partial likelihood from the invisible decay width of the $Z$-boson, in the $M_I-|U_{\tau I}|^2$ plane.