  The razor approach to search for R-parity conserving supersymmetric particles
is described in detail. Two analyses are considered: an inclusive search for
new heavy particle pairs decaying to final states with at least two jets and
missing transverse energy, and a dedicated search for final states with at
least one jet originating from a bottom quark. For both the inclusive study and
the study requiring a bottom-quark jet, the data are examined in exclusive
final states corresponding to all-hadronic, single-lepton, and dilepton events.
The study is based on the data set of proton-proton collisions at sqrt(s) = 7
TeV collected with the CMS detector at the LHC in 2011, corresponding to an
integrated luminosity of 4.7 inverse femtobarns. The study consists of a shape
analysis performed in the plane of two kinematic variables, denoted MR and R2,
that correspond to the mass and transverse energy flow, respectively, of
pair-produced, heavy, new-physics particles. The data are found to be
compatible with the background model, defined by studying event simulations and
data control samples. Exclusion limits for squark and gluino production are
derived in the context of the constrained minimal supersymmetric model (CMSSM)
and also for simplified-model spectra (SMS). Within the CMSSM parameter space
considered, squark and gluino masses up to 1350 GeV are excluded at 95%
confidence level, depending on the model parameters. For SMS scenarios, the
direct production of pairs of top or bottom squarks is excluded for masses as
high as 400 GeV.
