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This letter presents the results of a search for pair-produced particles ofmasses above 100 GeV that each decay into at least four quarks. Using datacollected by the CMS experiment at the LHC in 2015-2016, corresponding to anintegrated luminosity of 38.2 fb$^{-1}$, reconstructed particles are clusteredinto two large jets of similar mass, each consistent with four-partonsubstructure. No statistically significant excess of data over the backgroundprediction is observed in the distribution of average jet mass. Pair-producedsquarks with dominant hadronic $R$-parity-violating decays into four quarks andwith masses between 0.10 and 0.72 TeV are excluded at 95% confidence level.Similarly, pair-produced gluinos that decay into five quarks are also excludedwith masses between 0.10 and 1.41 TeV at 95% confidence level. These are thefirst constraints that have been placed on pair-produced particles with massesbelow 400 GeV that decay into four or five quarks, bridging a significant gapin the coverage of $R$-parity-violating supersymmetry parameter space.

Search for pair-produced resonances each decaying into at least four quarks in proton-proton collisions at $\sqrt{s}=$ 13 TeV