Search for dark matter produced in association with a Higgs boson decaying to $\gamma\gamma$ or $\tau^+\tau^-$ at $\sqrt{s}=13~\mathrm{TeV}$ with the CMS detector

A search for dark matter is performed by looking for events in pp collisions with large missing transverse momentum and a recoiling Higgs boson that decays to either a pair of photons or a pair of tau leptons. The data correspond to an integrated luminosity of $35.9~\mathrm{fb}^{-1}$ collected in 2016 by the CMS experiment at the CERN LHC at a center-of-mass energy of $13~\mathrm{TeV}$. No significant excess over the expected standard model background is observed. Results are interpreted in the context of two benchmark simplified models. Upper limits with $95\%$ confidence level are presented for the signal production cross section times branching fraction. Results are also interpreted in terms of $90\%$ confidence level limits on the spin-independent dark matter-nucleon cross section as a function of dark matter mass. This is the first search for dark matter produced in association with a Higgs boson decaying to two tau leptons.