  We study the potential of the current Large Hadron Collider (LHC) 7 TeV run
to search for heavy, colored vector-like fermions, which are assumed to carry a
conserved Z2 quantum number forcing them to be pair-produced. Each fermion is
assumed to decay directly into a Standard Model quark and an invisible stable
particle. T-odd quarks (T-quarks) and the lightest T-odd particle (LTP) of the
Littlest Higgs model with T-parity provide an example of this setup. We
estimate the bounds based on the published CMS search for events with jets and
missing transverse energy in the 35 pb-1 data set collected in the 2010 run. We
find that T-quark masses below about 450 GeV are ruled out for the LTP mass
about 100 GeV. This bound is somewhat stronger than the published Tevatron
constraint. We also estimate the reach with higher integrated luminosities
expected in the 2011-12 run. If no deviation from the SM is observed, we expect
that a bound on the T-quark mass of about 650 GeV, for the LTP mass of 300 GeV
and below, can be achieved with 1 fb-1 of data. We comment on the possibility
of using initial-state radiation jets to constrain the region with
nearly-degenerate T-quark and LTP.
