We investigate possible scenarios of light-squark production at the LHC as a
new mechanism to produce Higgs bosons in association with jets. The study is
motivated by the SUSY search for H+jets events, performed by the CMS
collaboration on 8 and 13 TeV data using the razor variables. Two simplified
models are proposed to interpret the observations in this search. The
constraint from Run I and the implications for Run II and beyond are discussed