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| CMS-PAS-HIG-20-009 | ||
| Search for lepton-flavor violating decays of the Higgs boson to $\mu\tau$ and e$\tau$ in proton-proton collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| March 2021 | ||
| Abstract: A search is presented for lepton-flavor violating decays of the Higgs boson to $\mu\tau$ and e$\tau$. The analysis is based on data corresponding to an integrated luminosity of 137 fb$^{-1}$, collected at the CMS detector of the LHC in proton-proton collisions at a center-of-mass energy of 13 TeV. No significant excess has been found, and the results are interpreted in terms of upper limits on lepton-flavor violating branching fractions of the Higgs boson. The observed and expected upper limits on the branching fractions are, respectively, $\mathcal{B}(\mathrm{H}\to\mu\tau) < $ 0.15% and $ < $ 0.15% and $\mathcal{B}(\mathrm{H}\to e\tau) < $ 0.22% and $ < $ 0.16% set at 95% confidence level. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to PRD. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
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Figure 1-a:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 1-b:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
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Figure 1-c:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 1-d:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
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Figure 2:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\mathrm{e}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 2-a:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\mathrm{e}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 2-b:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\mathrm{e}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 2-c:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\mathrm{e}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 2-d:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mu \tau _{\mathrm{e}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 3:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 3-a:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 3-b:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 3-c:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 3-d:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\text {h}}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 4:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\mu}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 4-a:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\mu}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 4-b:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\mu}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 4-c:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\mu}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 4-d:
BDT discriminant distributions for the data and background processes in the ${\mathrm{H} \to \mathrm{e} \tau _{\mu}}$ channel. A $ {\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)} =$ 20% is assumed for the signal. The channel categories are 0 jets (upper row left), 1 jet (upper row right), 2 jets ggH (lower row left), and 2 jets VBF (lower row right). The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band corresponds to the post-fit statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 5:
The ${m_{\text {col}}}$ distribution in CR with same electric charge for both leptons (left), W+jets CR (middle), and ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR (right). In each distribution, the CR's dominant background is shown, and all the other backgrounds are grouped into "Other bkg.". A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 10% is assumed for the signal. The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band shows the statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 5-a:
The ${m_{\text {col}}}$ distribution in CR with same electric charge for both leptons (left), W+jets CR (middle), and ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR (right). In each distribution, the CR's dominant background is shown, and all the other backgrounds are grouped into "Other bkg.". A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 10% is assumed for the signal. The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band shows the statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 5-b:
The ${m_{\text {col}}}$ distribution in CR with same electric charge for both leptons (left), W+jets CR (middle), and ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR (right). In each distribution, the CR's dominant background is shown, and all the other backgrounds are grouped into "Other bkg.". A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 10% is assumed for the signal. The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band shows the statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 5-c:
The ${m_{\text {col}}}$ distribution in CR with same electric charge for both leptons (left), W+jets CR (middle), and ${\mathrm{t} {}\mathrm{\bar{t}}}$ CR (right). In each distribution, the CR's dominant background is shown, and all the other backgrounds are grouped into "Other bkg.". A $ {\mathcal {B}(\mathrm{H} \to \mu \tau)} =$ 10% is assumed for the signal. The lower panel in each plot shows the ratio of data and estimated background. The uncertainty band shows the statistical and systematic uncertainties added in quadrature. |
png pdf |
Figure 6:
Observed (expected) 95% CL upper limits on the ${\mathcal {B}(\mathrm{H} \to \mu \tau)}$ (left) and ${\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)}$ (right) for each individual category and combined. |
png pdf |
Figure 6-a:
Observed (expected) 95% CL upper limits on the ${\mathcal {B}(\mathrm{H} \to \mu \tau)}$ (left) and ${\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)}$ (right) for each individual category and combined. |
png pdf |
Figure 6-b:
Observed (expected) 95% CL upper limits on the ${\mathcal {B}(\mathrm{H} \to \mu \tau)}$ (left) and ${\mathcal {B}(\mathrm{H} \to \mathrm{e} \tau)}$ (right) for each individual category and combined. |
png pdf |
Figure 7:
Expected (red line) and observed (black solid line) 95% CL upper limits on the LFV Yukawa couplings, $ {{| \text {Y}_{\mu \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mu} |}} $ (left) and $ {{| \text {Y}_{\mathrm{e} \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mathrm{e}} |}} $ (right). In the left plot, the expected limit is covered by the observed limit as they have similar values. The flavor diagonal Yukawa couplings are approximated by their SM values. The green (yellow) band indicates the range that is expected to contain 68 (95)% of all observed limit variations from the expected limit. The shaded regions are constraints obtained from null searches for $\tau \to 3\mu $ or $\tau \to 3\mathrm{e} $ (dark blue) [91] and $\tau \to \mu \gamma $ or $\tau \to \mathrm{e} \gamma $ (purple). The blue diagonal line is the theoretical naturalness limit $ {| \text {Y}_{ij}\text {Y}_{ji} |} = {m_i}m_j/v^2$ [11] |
png pdf |
Figure 7-a:
Expected (red line) and observed (black solid line) 95% CL upper limits on the LFV Yukawa couplings, $ {{| \text {Y}_{\mu \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mu} |}} $ (left) and $ {{| \text {Y}_{\mathrm{e} \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mathrm{e}} |}} $ (right). In the left plot, the expected limit is covered by the observed limit as they have similar values. The flavor diagonal Yukawa couplings are approximated by their SM values. The green (yellow) band indicates the range that is expected to contain 68 (95)% of all observed limit variations from the expected limit. The shaded regions are constraints obtained from null searches for $\tau \to 3\mu $ or $\tau \to 3\mathrm{e} $ (dark blue) [91] and $\tau \to \mu \gamma $ or $\tau \to \mathrm{e} \gamma $ (purple). The blue diagonal line is the theoretical naturalness limit $ {| \text {Y}_{ij}\text {Y}_{ji} |} = {m_i}m_j/v^2$ [11] |
png pdf |
Figure 7-b:
Expected (red line) and observed (black solid line) 95% CL upper limits on the LFV Yukawa couplings, $ {{| \text {Y}_{\mu \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mu} |}} $ (left) and $ {{| \text {Y}_{\mathrm{e} \tau} |}} $ vs. $ {{| \text {Y}_{\tau \mathrm{e}} |}} $ (right). In the left plot, the expected limit is covered by the observed limit as they have similar values. The flavor diagonal Yukawa couplings are approximated by their SM values. The green (yellow) band indicates the range that is expected to contain 68 (95)% of all observed limit variations from the expected limit. The shaded regions are constraints obtained from null searches for $\tau \to 3\mu $ or $\tau \to 3\mathrm{e} $ (dark blue) [91] and $\tau \to \mu \gamma $ or $\tau \to \mathrm{e} \gamma $ (purple). The blue diagonal line is the theoretical naturalness limit $ {| \text {Y}_{ij}\text {Y}_{ji} |} = {m_i}m_j/v^2$ [11] |
| Tables | |
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Table 1:
Event selection criteria for the ${\mathrm{H} \to \mu \tau}$ channels. |
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Table 2:
Event selection criteria for the ${\mathrm{H} \to \mathrm{e} \tau}$ channels. |
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Table 3:
Systematic uncertainties in the expected event yields. All uncertainties are treated as correlated among categories, except those with two values separated by the $\oplus $ sign. In this case, the first value is the correlated uncertainty and the second value is the uncorrelated uncertainty for each category. |
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Table 4:
Observed and expected upper limits at 95% CL and best fit branching fractions for each individual jet category, and their combinations, in the ${\mathrm{H} \to \mu \tau}$ channel. |
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Table 5:
Observed and expected upper limits at 95% CL and best fit branching fractions for each individual jet category, and their combinations, in the ${\mathrm{H} \to \mathrm{e} \tau}$ channel. |
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Table 6:
Summary of observed and expected upper limits at 95% CL, best fit branching fractions and corresponding constraints on Yukawa couplings for the ${\mathrm{H} \to \mu \tau}$ and ${\mathrm{H} \to \mathrm{e} \tau}$ channels. |
| Summary |
| This section summarizes a search for lepton-flavor violations in the $\mu\tau$ and e$\tau$ channels of the Higgs boson in data collected by the CMS experiment. The data correspond to an integrated luminosity of 137 fb$^{-1}$ of pp collisions at a center-of-mass energy of 13 TeV. The results are extracted through a maximum likelihood fit to a boosted decision tree discriminant output, trained to distinguish the expected signal from backgrounds. The observed and expected upper limits on the branching fraction of the Higgs boson to $\mu\tau$ are 0.15% and 0.15% and to e$\tau$ are 0.22% and 0.16%, respectively, at 95% confidence level. Upper limits on the off-diagonal $\mu\tau$ and e$\tau$ couplings are derived from these constraints, $\sqrt{\smash[b]{|{\text{Y}_{\mu\tau}}| ^{2}+|{\text{Y}_{\tau\mu}}}| ^{2}} < $ 1.11${\times}10^{-3}$ and $\sqrt{\smash[b]{|{\text{Y}_{\mathrm{e}\tau}}| ^{2}+|{\text{Y}_{\tau\mathrm{e}}}}| ^{2}} < $ 1.35${\times}10^{-3}$. These results constitute an improvement over the previous limits from CMS and ATLAS. |
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