Polymer stars in three dimensions. Three loop results

We study the scaling properties of self-avoiding polymer stars and networks of arbitrarily given but fixed topology. We use the massive field theoretical renormalization group framework to calculate the critical exponents governing their universal properties (star exponents). Calculations are performed directly in three dimensions, renormalization group functions are obtained in the three-loop approximation. Resulting asymptotic series for star exponents are resummed with the help of Padé–Borel and conformal mapping transformations.