Constraints on anomalous Higgs boson couplings to vector bosons and fermions in production and decay in the $H\to4\ell$ channel

Studies of CP-violation and anomalous couplings of the Higgs boson to vector bosons and fermions are presented. Kinematics of the Higgs boson's four-lepton decay and of its production in association with a vector boson, hadronic jets, or a top-quark pair are used. The data used in this study were acquired by the CMS experiment at the LHC and corresponds to an integrated luminosity of $137~\mathrm{fb}^{-1}$ at a center-of-mass energy of $\sqrt{s}=13~\mathrm{TeV}$. A full detector simulation of all kinematic effects in the Higgs boson decay and associated particle production is performed. These effects are analyzed using matrix element techniques to identify the production mechanism and to increase sensitivity to the Higgs boson couplings. Simultaneous measurement of up to five HVV, two Hgg, and two Htt couplings is performed. The results are presented in the framework of anomalous coupling measurements and are also interpreted in the effective field theory framework, with SU(2)$\times$U(1) symmetry for the HVV couplings.