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CMS-PAS-HIG-17-034

Constraints on anomalous HVV couplings in the production of Higgs bosons decaying to tau lepton pairs

CMS Collaboration

November 2018

Abstract: A study of anomalous HVV interactions of the Higgs boson and its $CP$ properties is presented. The study uses Higgs boson candidates produced in vector boson fusion, WH and ZH processes and subsequently decaying to a pair of tau leptons. The data were recorded by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV and correspond to an integrated luminosity of 35.9 fb$^{-1}$. A matrix element technique is employed for optimal analysis of four types of anomalous interactions. Constraints are further improved by combination of the H$\to\tau\tau$ and H$\to 4\ell$ decay channels resulting in the most stringent constraints on anomalous Higgs boson couplings to date: $f_{a3}\cos(\phi_{a3})= (0.00 \pm 0.27 )\times10^{-3}$, $f_{a2}\cos(\phi_{a2})=(0.08^{+1.04}_{-0.21})\times10^{-3}$, $f_{\lambda 1}\cos(\phi_{\lambda 1})=(0.00^{+0.53}_{-0.09})\times10^{-3}$, and $f_{\lambda 1}^{Z\gamma}\cos(\phi_{\lambda 1}^{Z\gamma})=(0.0^{+1.1}_{-1.3})\times10^{-3}$. These results are consistent with expectations of the standard model.

Links: CDS record (PDF) ; CADI line (restricted) ; These preliminary results are superseded in this paper, PRD 100 (2019) 112002. The superseded preliminary plots can be found here.

Figures
png pdf	Figure 1: Illustrations of ${\mathrm {H}}$ production in strong $q{q^\prime}\to gg(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ or weak vector boson fusion $q{q^\prime}\to V^*V^*(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ (left) and $q\bar{q}^\prime \to V^*\to \mathrm {V} {\mathrm {H}} \to q\bar{q}^\prime \tau \tau$ (right). The decay ${\mathrm {H}} \to \tau \tau$ is shown without further illustrating the $\tau$ decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in suitable rest frames [37,42].
png pdf	Figure 1-a: Illustrations of ${\mathrm {H}}$ production in strong $q{q^\prime}\to gg(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ or weak vector boson fusion $q{q^\prime}\to V^*V^*(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ (left) and $q\bar{q}^\prime \to V^*\to \mathrm {V} {\mathrm {H}} \to q\bar{q}^\prime \tau \tau$ (right). The decay ${\mathrm {H}} \to \tau \tau$ is shown without further illustrating the $\tau$ decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in suitable rest frames [37,42].
png pdf	Figure 1-b: Illustrations of ${\mathrm {H}}$ production in strong $q{q^\prime}\to gg(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ or weak vector boson fusion $q{q^\prime}\to V^*V^*(q{q^\prime})\to {\mathrm {H}} (q{q^\prime})\to \tau \tau (q{q^\prime})$ (left) and $q\bar{q}^\prime \to V^*\to \mathrm {V} {\mathrm {H}} \to q\bar{q}^\prime \tau \tau$ (right). The decay ${\mathrm {H}} \to \tau \tau$ is shown without further illustrating the $\tau$ decay chain. Angles and invariant masses fully characterize the orientation of the production and two-body decay chain and are defined in suitable rest frames [37,42].
png pdf	Figure 2: The distribution of ${m_\text {vis}}$ and ${m_{{\tau} {\tau}}}$ in the 0-jet category of the $\mu {{\tau} _\mathrm {h}} + {\mathrm {e}} {{\tau} _\mathrm {h}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 2-a: The distribution of ${m_\text {vis}}$ and ${m_{{\tau} {\tau}}}$ in the 0-jet category of the $\mu {{\tau} _\mathrm {h}} + {\mathrm {e}} {{\tau} _\mathrm {h}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 2-b: The distribution of ${m_\text {vis}}$ and ${m_{{\tau} {\tau}}}$ in the 0-jet category of the $\mu {{\tau} _\mathrm {h}} + {\mathrm {e}} {{\tau} _\mathrm {h}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 3: The distribution of transverse momentum of the Higgs boson in the boosted category of the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 3-a: The distribution of transverse momentum of the Higgs boson in the boosted category of the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 3-b: The distribution of transverse momentum of the Higgs boson in the boosted category of the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (left) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (right) decay channels. The BSM hypothesis corresponds to $f_{a3}\cos\phi _{a3}=1$.
png pdf	Figure 4: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 4-a: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 4-b: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 4-c: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 4-d: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 4-e: The distributions of $\mathcal {D}_\mathrm {0-}$, $\mathcal {D}_{CP}$, $\mathcal {D}_{\rm 0h+}$, $\mathcal {D}_{\lambda 1}$, and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ in the VBF category. In these figures, all four decay channels, ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$, $\mu {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\tau} _\mathrm {h}}$, ${\mathrm {e}} {{\mu}}$ are summed. The BSM hypothesis depends on the variable shown: it corresponds to $f_{a3}\cos\phi _{a3}=1$ for the $\mathcal {D}_\mathrm {0-}$ (top left) distributions, the maximal mixing ("BSM mix") in VBF production for the $\mathcal {D}_{CP}$ distribution (top right), $f_{a2}\cos\phi _{a2}=1$ for the $\mathcal {D}_{\rm 0h+}$ distribution (center left), $f_{\lambda 1}\cos\phi _{\lambda 1}=1$ for the $\mathcal {D}_{\lambda 1}$ distribution (center right), and $f_{\lambda 1}^{Z\gamma}\cos\phi _{\lambda 1}^{Z\gamma}=1$ for the $\mathcal {D}_{\lambda 1}^{Z\gamma}$ distribution (bottom).
png pdf	Figure 5: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_\mathrm {0-}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 5-a: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_\mathrm {0-}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 5-b: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_\mathrm {0-}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 5-c: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_\mathrm {0-}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 6: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\rm 0h+}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 6-a: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\rm 0h+}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 6-b: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\rm 0h+}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 6-c: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\rm 0h+}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 7: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 7-a: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 7-b: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 7-c: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 8: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 8-a: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 8-b: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 8-c: Observed and expected distributions in the VBF category in bins of $m_{\tau \tau}$, $m_{jj}$ and $\mathcal {D}_{\lambda 1}^{Z\gamma}$ for the $\mu {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\tau} _\mathrm {h}}$+${\mathrm {e}} {{\mu}}$ (top) and ${{\tau} _\mathrm {h}} {{\tau} _\mathrm {h}}$ (middle and bottom) decay channels.
png pdf	Figure 9: Observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 9-a: Observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 9-b: Observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 9-c: Observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 9-d: Observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 10: Combination of results presented in this note using the ${\mathrm {H}} \to \tau \tau$ decay and results in Ref. [14] using the ${\mathrm {H}} \to ZZ$ decay. The combined observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 10-a: Combination of results presented in this note using the ${\mathrm {H}} \to \tau \tau$ decay and results in Ref. [14] using the ${\mathrm {H}} \to ZZ$ decay. The combined observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 10-b: Combination of results presented in this note using the ${\mathrm {H}} \to \tau \tau$ decay and results in Ref. [14] using the ${\mathrm {H}} \to ZZ$ decay. The combined observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 10-c: Combination of results presented in this note using the ${\mathrm {H}} \to \tau \tau$ decay and results in Ref. [14] using the ${\mathrm {H}} \to ZZ$ decay. The combined observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).
png pdf	Figure 10-d: Combination of results presented in this note using the ${\mathrm {H}} \to \tau \tau$ decay and results in Ref. [14] using the ${\mathrm {H}} \to ZZ$ decay. The combined observed (solid) and expected (dashed) likelihood scans of $f_{a3}\cos(\phi _{a3})$ (a), $f_{a2}\cos(\phi _{a2})$ (b), $f_{\lambda 1}\cos(\phi _{\lambda 1})$ (c), and $f_{\lambda 1}^{Z\gamma}\cos(\phi _{\lambda 1}^{Z\gamma})$ (d).

Tables
png pdf	Table 1: Kinematic selection criteria for the four decay channels. For the trigger threshold requirements, the numbers indicate the approximate trigger thresholds in GeV. The lepton selection criteria include transverse momentum threshold, pseudo-rapidity range as well as isolation criteria.
png pdf	Table 2: Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous coupling parameters using the ${\mathrm {H}} \to \tau \tau$ decay.
png pdf	Table 3: Summary of allowed 68% CL (central values with uncertainties) and 95% CL (in square brackets) intervals on anomalous coupling parameters using combination of the ${\mathrm {H}} \to \tau \tau$ and ${\mathrm {H}} \to 4\ell$ [14] decay channels.

Summary

A study of anomalous HVV interactions of the Higgs boson, including CP violation, has been presented, using its associated production with two quark jets in vector boson fusion and VH with subsequent decay to a pair of tau leptons. Constraints on the CP-violating parameter $f_{a3}$ and on the CP-conserving parameters $f_{a2}$, $f_{\lambda 1}$, and $f_{\lambda 1}^{Z\gamma}$ are set using matrix element techniques. The observed and expected limits on parameters are summarized in Table 2. The 68% CL constraints are generally tighter than those from previous measurements using either production or decay information. Further constraints are obtained in the combination of the $\mathrm{H}\to\tau\tau$ and $\mathrm{H}\to 4\ell$ decay channels and are summarized in Table 3. This results in the most stringent constraints on anomalous Higgs boson couplings: $f_{a3}\cos(\phi_{a3})=(0.00 \pm 0.27 )\times10^{-3}$, $f_{a2}\cos(\phi_{a2})=(0.08^{+1.04}_{-0.21})\times10^{-3}$, $f_{\lambda 1}\cos(\phi_{\lambda 1})=(0.00^{+0.53}_{-0.09})\times10^{-3}$, and $f_{\lambda 1}^{Z\gamma}\cos(\phi_{\lambda 1}^{Z\gamma})=(0.0^{+1.1}_{-1.3})\times10^{-3}$. The results are consistent with expectations for the standard model Higgs boson.

Additional Figures

png pdf

Additional Figure 1: Summary of confidence level intervals of anomalous coupling parameters in ${\mathrm {H}} \mathrm {V} \mathrm {V}$ interactions under the assumption that all the coupling ratios are real ($\phi _{ai}^{\mathrm {V} \mathrm {V}}=$ 0 or $\pi$). The ${\mathrm {H}} {\mathrm {Z}} {\mathrm {Z}} + {\mathrm {H}} {\mathrm {W}} {\mathrm {W}}$ coupling limits assume that $a_{i}^{{\mathrm {Z}} {\mathrm {Z}}}=a_{i}^{{\mathrm {W}} {\mathrm {W}}}$. The expected 68% and 95% CL regions are shown as green and yellow bands. The observed intervals for 68% CL are shown as points with error bars, and the hatched areas indicate the excluded regions at 95% CL. The limits on $f_{a2,3}^{{\mathrm {Z}} \gamma,\gamma \gamma}$ are from Ref. [10], and the limits on $f_{\Lambda Q}$ are from Ref. [11].

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