Search for pair-produced resonances decaying to quark pairs in proton-proton collisions at $\sqrt{s}=13~\mathrm{TeV}$

A search for the pair production of resonances decaying to two quarks is reported. The search is conducted separately for lighter resonances between 80 and $400~\mathrm{GeV}$ in mass, when the resulting diquark decay products are collimated and reconstructed as a single jet producing a dijet final state, and for heavier resonances above $400~\mathrm{GeV}$ in mass, when the decay products generate pairs of hadronic jets producing a four-jet final state. In addition, a b-tagged selection is applied to target resonances with a bottom quark in the final state. The analysis uses data collected with the CMS detector at the LHC, corresponding to an integrated luminosity of $35.9~\mathrm{fb}^{-1}$ from proton-proton collisions at a center-of-mass energy of $13~\mathrm{TeV}$. The mass spectra are analyzed for the presence of new resonant particles, and are found to be consistent with standard model expectations. The results are interpreted in the framework of R-parity-violating supersymmentry assuming the pair production of scalar top quarks decaying via the $\lambda^{\prime \prime}_{\mathrm{312}}$ or the $\lambda^{\prime \prime}_{\mathrm{323}}$ hadronic couplings, and upper limits are placed on the pair production cross section of top squarks as a function of the top squark mass for the two hadronic coupling scenarios.