  In this note, we consider so-called "Higgs Branch Localization" for four
dimensional N=2 field theories on 4d ellipsoid. We find a new set of saddle
point equations arising from additional Higgs branch deformation term, whose
solutions include both Higgs branch and BPS instanton-vortex mixed
configurations. By evaluating the contour integral, we also demonstrate the
ellipsoid partition almost factorizes into purely b and 1/b dependent parts,
using SQCD as an explicit example. We identify various factorized parts with
the ellipsoid partition function of two dimensional N=(2,2) SQCDA, which is
precisely the vortex world volume theory. We also give physical interpretation
for the non-factorizable parts and discuss future directions.
