  We combine Halo/Cluster Effective Field Theory (H/CEFT) and the Gamow Shell
Model (GSM) to describe the $0^+$ ground state of $\rm{^6He}$ as a three-body
halo system. We use two-body interactions for the neutron-alpha particle and
two-neutron pairs obtained from H/CEFT at leading order, with parameters
determined from scattering in the p$_{3/2}$ and s$_0$ channels, respectively.
The three-body dynamics of the system is solved using the GSM formalism, where
the continuum states are incorporated in the shell model valence space. We find
that in the absence of three-body forces the system collapses, since the
binding energy of the ground state diverges as cutoffs are increased. We show
that addition at leading order of a three-body force with a single parameter is
sufficient for proper renormalization and to fix the binding energy to its
experimental value.
