  We theoretically study a possible new pairing mechanism for a two-dimensional
population imbalanced Fermi gas with short-range repulsive interactions which
can be realized on the upper branch of a Feshbach resonance. We use a
well-controlled renormalization group approach, which allows an unbiased study
of the instabilities of imbalanced Fermi liquid without assumption of a broken
symmetry and gives a numerical calculation of the transition temperature from
microscopic parameters. Our results show a leading superfluid instability in
the p-wave channel for the majority species. The corresponding mechanism is
that there are effective attractive interactions for the majority species,
induced by the particle-hole susceptibility of the minority species, where the
mismatch of the Fermi surfaces of the two species plays an important role. We
also propose an experimental protocol for detecting the p-wave superfluidity
and discuss the corresponding experimental signatures.
