A study of anomalous couplings of the Higgs boson to vector bosons and fermions is presented. The data were recorded by the CMS experiment at a center-of-mass energy of pp collisions at the LHC of 13 TeV and correspond to an integrated luminosity of 138 fb$^{-1}$. The study uses Higgs boson candidates produced mainly in gluon fusion or electroweak vector boson fusion at the LHC that subsequently decay to a pair of $\tau$ leptons. Matrix-element and machine-learning techniques were employed in a search for anomalous interactions. The results are combined with those from the four-lepton and two-photon decay channels to yield the most stringent constraints on anomalous Higgs boson couplings to date. The pure $CP$-odd scenario of the Higgs boson coupling to gluons is excluded at 2.4 standard deviations. The results are consistent with the standard model predictions.
Observed likelihood scan of $f_{a3}^{\mathrm{ggH}}$ (MELA method).
Expected likelihood scan of $f_{a3}^{\mathrm{ggH}}$ (MELA method).
Observed likelihood scan of $f_{a3}^{\mathrm{ggH}}$ ($\Delta\phi_{\mathrm{jj}}$ method).