  We investigate the critical properties of the Lee-Yang model in less than six
spacetime dimensions using truncations of the functional renormalization group
flow. We give estimates for the critical exponents, study the dependence on the
regularization scheme, and show the convergence of our results for increasing
size of the truncations in four and five dimensions. While with our truncations
it is numerically challenging to approach the three-dimensional case, we
provide a simple approximation which allows us to qualitatively study the
Lee-Yang model in two and three dimensions, and use it to argue the existence
of further nonunitary multicritical theories including one which is relevant
for the universality class of the Blume-Capel model.
