On the zero-field susceptibility in the d=4, n=0 limit: analysing for confluent logarithmic singularities

A method is developed for the analysis of critical point singularities of the form f(t) approximately A mod t mod q mod ln mod t mod p with q known. The d=4, n=0 susceptibility series is extended by two further terms, and is analysed under the assumption of a singularity of the above type with q=-1. It is found that p=0.23+or-0.04, in agreement with the calculation (p=1/4) of Larkin and Khmel'nitskii (1969). The connective constant for the model is found to be 6.7720+or-0.0005.