  We study helicity polarization through the (3+1) dimensional relativistic
viscous hydrodynamic models at $\sqrt{s_{NN}}=200$GeV Au+Au collisions. Similar
to the local spin polarization, we consider the helicity polarization beyond
global equilibrium and investigate the contributions induced by thermal
vorticity, shear viscous tensor, and the fluid acceleration. We find that the
local helicity polarization induced by thermal vorticity dominates over other
contributions. It also implies that in the low-energy collisions, the the fluid
vorticity as part of thermal vorticity may play the crucial role to the total
helicity polarization. Such a finding could be useful for probing the local
strength of vorticity in rotational quark gluon plasmas by measuring helicity
polarization. Our simulation confirms the strict space reversal symmetry,
whereas we also compare our numerical results with approximated relations
derived from ideal Bjorken flow. Our studies also provide a baseline for the
future investigation on local parity violation through the correlations of
helicity polarization.
