  A search for new physics using events containing an imbalance in transverse
momentum and one or more energetic jets arising from initial-state radiation or
the hadronic decay of W or Z bosons is presented. A data sample of
proton-proton collisions at $\sqrt{s} = $ 13 TeV, collected with the CMS
detector at the LHC and corresponding to an integrated luminosity of 35.9
fb$^{-1}$, is used. The observed data are found to be in agreement with the
expectation from standard model processes. The results are interpreted as
limits on the dark matter production cross section in simplified models with
vector, axial-vector, scalar, and pseudoscalar mediators. Interpretations in
the context of fermion portal and nonthermal dark matter models are also
provided. In addition, the results are interpreted in terms of invisible decays
of the Higgs boson and set stringent limits on the fundamental Planck scale in
the Arkani-Hamed, Dimopoulos, and Dvali model with large extra spatial
dimensions.
