  We consider the properties of a single impurity immersed in a Fermi sea close
to an interspecies p-wave Feshbach resonance. We calculate its dispersion and
spectral response to a radiofrequency pulse. In the presence of a magnetic
field, dipolar interactions split the resonance and lead to the appearance of
two novel features with respect to the s-wave case: a third polaron branch in
the excitation spectrum, in addition to the usual attractive and repulsive
ones; and an anisotropic dispersion of the impurity characterized by different
effective masses perpendicular and parallel to the magnetic field. The
anisotropy can be tuned as a function of the field strength and the two
effective masses may have opposite signs, or become smaller than the bare mass.
