Yang-Mills stars in Higgsed non-Abelian dark matter
  Bosonic field theories with non-linear interactions alongside gravity,
generally admit bound states known as solitons. Depending upon the spin nature
of the field, they can even carry macroscopic intrinsic spin polarization.
Focusing on the Higgsed SU($2$) Yang-Mills theory, we describe polarized
solitons in non-Abelian theories with a heavy Higgs, which we refer to as
`Yang-Mills stars'. Owing to both kinds of self-interactions; repulsive ones
arising due to the Yang-Mills structure, while attractive ones arising due to
the Higgs exchange; we can have a diverse zoo of solitons. Depending upon
various parameters of the theory such as the mass of the Yang-Mills vector
fields $m$, mass of the dark Higgs field $M_{\varphi}$, and the gauge coupling
constant $g$, these objects can be astrophysically large with varying size and
mass, and carry large intrinsic spin and/or isospin giving rise to interesting
phenomenological implications. Even for vector mass as large as $m \simeq 10$
eV, we can accommodate gauge couplings $g \lesssim 10^{-4}-10^{-5}$, still
evading Bullet cluster constraints. For these parameters, we get
astrophysically long lived solitons having radii as large as $r_{s} \sim
10^{5}\,R_{\odot}$ and masses $M_{s} \sim 10 M_{\odot}$, carrying $M_{s}/m \sim
10^{66}$ amounts of intrinsic spin/isospin polarization.
