  Observing the mass shifts of chiral partners will provide invaluable insight
into the role of chiral symmetry breaking in the generation of hadron masses.
Because both the $K^*$ and $K_1$ mesons have vacuum widths smaller than 100
MeV, they are ideal candidates for realizing mass shift measurements. On the
other hand, the different momentum dependence of the longitudinal and
transverse modes smear the peak positions. In this work, we analyze the angular
dependence of the two-body decays of both the $K^*$ and $K_1$. It is found that
the longitudinal and transverse modes of the $K^*$ can be isolated by observing
the pseudoscalar decay in either the forward or perpendicular directions,
respectively. For the $K_1$ decaying into a vector meson and a pseudoscalar
meson, one can accomplish the same goal by further observing the polarization
of the vector meson through its angular dependence on the two pseudoscalar
meson decay.
