Functional renormalization group approach to the Yang - Lee edge singularity

We determine the scaling properties of the Yang-Lee edge singularity as described by a one-component scalar field theory with imaginary cubic coupling, using the nonperturbative functional renormalization group in 3 <= d <= 6 Euclidean dimensions. We find very good agreement with high-temperature series data in d = 3 dimensions and compare our results to recent estimates of critical exponents obtained with the four-loop epsilon = 6 - d expansion and the conformal bootstrap. The relevance of operator insertions at the corresponding fixed point of the RG beta functions is discussed and we estimate the error associated with O(partial derivative(4)) truncations of the scale-dependent effective action.