  In this paper, we present a solution for a five-dimensional boson star under
gravity with infinite tower of higher curvature corrections. We discover that
when the coupling constant exceeds a certain threshold, an alternative
configuration emerges, distinct from the conventional five-dimensional boson
star. This new structure is characterized by a broader frequency range, with
its minimum value approaching zero. At a truncation of $n=2$ for the correction
order, the solution and its scalar curvature diverge as the frequency
approaches zero. However, as the order of higher curvature corrections
increases, the singularity at the center vanishes, resulting in a globally
regular solution. Additionally, as the frequency approaches zero, the scalar
field's radial distribution becomes concentrated within the critical radius
$r_c$, forming what we term a ``frozen star". Beyond this radius, the metric of
the frozen star almost degenerates into that of an extreme black hole. The
solutions for such frozen stars offer a new avenue for exploring the enigmatic
interiors of compact celestial bodies, enhancing our understanding of the
internal structure of black holes under semi-classical conditions and
potentially addressing the series of paradoxes associated with information loss
due to singularities and horizons.
