The production of a pair of $\tau$ leptons via photon-photon fusion, $\gamma\gamma\to\tau\tau$, is observed for the first time in proton-proton collisions, with a significance of 5.3 standard deviations. This observation is based on a data set recorded with the CMS detector at the LHC at a center-of-mass energy of 13 TeV and corresponding to an integrated luminosity of 138 fb$^{-1}$. Events with a pair of $\tau$ leptons produced via photon-photon fusion are selected by requiring them to be back-to-back in the azimuthal direction and to have a minimum number of charged hadrons associated with their production vertex. The $\tau$ leptons are reconstructed in their leptonic and hadronic decay modes. The measured fiducial cross section of $\gamma\gamma\to\tau\tau$ is $\sigma^\text{fid}_\text{obs}$ = 12.4$^{+3.8}_{-3.1}$ fb. Constraints are set on the contributions to the anomalous magnetic moment ($a_\tau$) and electric dipole moments ($d_\tau$) of the $\tau$ lepton originating from potential effects of new physics on the $\gamma\tau\tau$ vertex: $a_\tau$ = 0.0009$_{-0.0031}^{+0.0032}$ and $\lvert d_\tau \rvert$$\lt$ 2.9 $\times$ 10$^{-17}$$e\,$cm (95% confidence level), consistent with the standard model.
This paper presents a combination of searches for the nonresonant production of Higgs boson pairs (HH) in proton-proton collisions at a centre-of-mass energy of 13 TeV. The data set was collected by the CMS experiment at the LHC from 2016 to 2018 and corresponds to a total integrated luminosity of 138 fb$^{-1}$. The observed (expected) upper limit on the inclusive HH production cross section relative to the standard model (SM) prediction is found to be 3.5 (2.5). Assuming all other Higgs boson couplings are equal to their SM values, the Higgs boson trilinear self-coupling modifier $κ_λ=λ_3/λ_{3}^\text{SM}$ is constrained in the range $-$1.35 $\leq$$κ_λ$$\leq$ 6.37 at 95% confidence level. Similarly, for the coupling modifier $κ_{2\mathrm{V}}$, which governs the interaction between two vector bosons and two Higgs bosons, we have excluded $κ_{2\mathrm{V}}$ = 0 at more than 5 standard deviations for all values of $κ_λ$. At 95% confidence level assuming other couplings are equal to their SM values, $κ_{2\mathrm{V}}$ is constrained in the range 0.64 $\leq$ $κ_{2\mathrm{V}}$ $\leq$ 1.40. This work also studies HH production in several new physics scenarios, using the Higgs effective field theory (HEFT) framework. The HEFT framework is further exploited to study various ultraviolet complete models with an extended Higgs sector and set constraints on specific parameters. An extrapolation of the results to the integrated luminosity expected after the high-luminosity upgrade of the LHC is reported as well.
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