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| CMS-PAS-HIG-16-005 | ||
| Search for lepton flavour violating decays of the Higgs boson in the $\mu$-$\tau$ final state at 13 TeV | ||
| CMS Collaboration | ||
| June 2016 | ||
| Abstract: A direct search for lepton flavour violating decays of the Higgs boson in the $\textrm{H} \rightarrow \mu \tau$ channel is described. In particular, the search examines the $\textrm{H} \rightarrow \mu \tau_{e}$ and the $\textrm{H} \rightarrow \mu \tau_{h}$ channels, where the $\tau$ leptons are reconstructed in the electronic and hadronic decay channels respectively. The data sample used in the search was collected in proton-proton collisions at $\sqrt{s}= $ 13 TeV with the CMS experiment at the LHC and corresponds to an integrated luminosity of 2.3 fb$^{-1}$. No excess is observed, and a 95% CL upper limit of $\mathcal{B}(\mathrm{H} \rightarrow \mu \tau ) <$ 1.20% (1.62 expected) is obtained. | ||
| Links: CDS record (PDF) ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1-a:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 1-b:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 1-c:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 1-d:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 1-e:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
png pdf |
Figure 1-f:
Distributions of the collinear mass $M_\text {col}$ for signal and background processes after the loose selection requirements, for the LFV $\mathrm{ H } \to \mu\tau $ candidates, for the different channels and categories, compared to data. For visualization purposes $\mathcal {B}(\mathrm{ H } \to \mu\tau )=$ 100% is used for the signal. The shaded grey bands indicate the total uncertainty. The bottom panel in each plot shows the fractional difference between the observed data and the total estimated background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 2-a:
Distributions of $M_\text {col}$ for region II compared to the estimate obtained by scaling the region IV sample by the measured misidentification fractions. The bottom panel in each plot shows the relative difference between the observed data and the estimate. a: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$. b: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $. |
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Figure 2-b:
Distributions of $M_\text {col}$ for region II compared to the estimate obtained by scaling the region IV sample by the measured misidentification fractions. The bottom panel in each plot shows the relative difference between the observed data and the estimate. a: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$. b: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $. |
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Figure 3-a:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 3-b:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 3-c:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
png pdf |
Figure 3-d:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
png pdf |
Figure 3-e:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
png pdf |
Figure 3-f:
Distribution of the collinear mass $M_\text {col}$ in the different channels and categories compared to the signal and background estimation. The background is normalized to the best-fit values from the signal plus background fit while the signal is normalized to $\mathcal {B}(\mathrm{ H } \to \mu\tau )=1%$. The bottom panel in each plot shows the fractional difference between the observed data and the fitted background. Top left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 0-jet; top right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 0-jet; middle left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 1-jet; middle right: $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 1-jet; bottom left: $\mathrm{ H } \to \mu\tau _{\mathrm{ e } }$ 2-jet; bottom right $\mathrm{ H } \to \mu {\tau _\mathrm {h}} $ 2-jet. |
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Figure 4:
Observed and expected 95% CL upper limits on the $\mathcal {B}(\mathrm{ H } \to \mu\tau )$ for each individual category and combined. The solid red and dashed black vertical lines correspond, respectively, to the observed and expected 95% CL upper limits obtained at $ \sqrt{s} = $ 8 TeV [23]. |
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Figure 5:
Constraints on the flavour violating Yukawa couplings, $ {| Y_{\mu\tau } | }$ and $ {| Y_{\tau \mu } | }$. The black dashed lines are contours of $\mathcal {B}(\mathrm{ H } \to \mu\tau )$ for reference. The expected limit (red solid line) with one standard deviation (green) and two standard deviation (yellow) bands, and observed limit (black solid line) are derived from the limit on $\mathcal {B}(\mathrm{ H } \to \mu\tau )$ from the present analysis. The shaded regions are derived constraints from null searches for $\tau \to 3\mu $ (dark green) and $\tau \to \mu \gamma $ (lighter green). The light blue region indicates the additional parameter space excluded by our result. The purple diagonal line is the theoretical naturalness limit $Y_{ij}Y_{ji} \leq m_im_j/v^2$. |
| Tables | |
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Table 1:
Selection criteria in all the categories used in the analysis |
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Table 2:
Definition of the regions used to estimate the misidentified lepton background. The different regions have different requirements for the isolation and the relative charge of the two leptons $\ell ^{\pm }_{1}$ and $\ell ^{\pm }_{2}$, which can be $\mathrm{ e } $, $\mu $ or $\tau _{h}$. |
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Table 3:
Systematic uncertainties in the expected event yield. All uncertainties are treated as correlated between the categories, except those which have two values indicated. In this case the first value is correlated as above, while the second value (following the $\oplus $ symbol) represents an uncorrelated uncertainty for each individual category. The total uncertainty in a given category is the sum in quadrature of the two values. |
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Table 4:
Event yields in the signal region in the range 100 $ < M_\text {col} < $ 150 GeV . The expected contributions are normalized to an integrated luminosity of 2.3 fb$^{-1}$. The LFV Higgs boson signal indicated corresponds to $B(\mathrm{ H } \to \mu \tau )=$ 1%, with the expected SM Higgs boson cross section. |
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Table 5:
The observed and expected upper limits and the best-fit branching fractions for different $n$-jet categories for the $\mathrm{ H } \to \mu\tau $ process. |
| Summary |
|
A direct search for lepton flavour violating decays of the Higgs boson in the $\mathrm{H} \to \mu \tau$ channel is described. The data sample used in the search was collected in proton-proton collisions at $\sqrt{s} =$ 13 TeV with the CMS experiment at the LHC and corresponds to an integrated integrated luminosity of 2.3 fb$^{-1}$. No excess is observed. The best-fit branching fraction is $\mathcal{B}(\mathrm{H} \to \mu \tau ) = -0.76^{+0.81}_{-0.84}$% and an upper limit of $\mathcal{B}(\mathrm{H} \rightarrow \mu \tau ) <$ 1.20% (1.62 expected) is set at 95% CL. At $\sqrt{s} =$ 8 TeV a small excess was observed, corresponding to 2.4$\sigma$, with an analysis based on an integrated luminosity of 19.7 fb$^{-1}$ that yielded an expected 95% CL limit on the branching fraction of 0.75%. More data are needed to make definitive conclusions on the origin of that excess. |
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Compact Muon Solenoid LHC, CERN |
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