Abstract The Yang–Lee edge singularity is investigated by the determinant method of the conformal field theory. minors are used for the evaluation of the scale dimension. The agreement with the Padé of expansion in the region is improved. The critical dimension , where the scale dimension of scalar is vanishing, is used for the improvement of the Padé. For the understanding of the intersection point of zero loci of minors, minors are investigated in detail; these are connected through Plüker relations.