Search for pair production of Higgs bosons in the two tau leptons and two bottom quarks final state using proton-proton collisions at $\sqrt{s} = 13~\mathrm{TeV}$

A search for the production of Higgs boson pairs in proton-proton collisions at a centre of mass energy of $13~\mathrm{TeV}$ is presented, making use of a data integrated luminosity of $35.9~\mathrm{fb}^{-1}$ collected with the CMS detector at the LHC. Final states with one Higgs boson decaying into two tau leptons and the other one decaying into two bottom quarks are explored to investigate both the resonant and non-resonant production mechanisms. The observed data are well described by standard model processes and no evidence for a signal contribution is found. For resonant production, upper limits at $95\%$ confidence level are set on the production cross section of Higgs boson pairs as a function of the resonance mass, and are interpreted in the context of the minimal supersymmetric standard model. For non-resonant production, upper limits on the production cross section constrain the parameter space for anomalous Higgs boson couplings. The observed (expected) limit corresponds to about 28 (25) times the prediction of the standard model.