RG analysis at higher orders in perturbative QFTs in CMP

Abstract

In this contribution we report on the perturbative determination of $\beta$-functions and anomalous dimensions for the chiral Ising, chiral XY and chiral Heisenberg Gross-Neveu-Yukawa model around $D=4$ dimensions at four loops and the first Padé extrapolation of critical exponents at non-trivial, infrared stable fixed points to $D=3$ to this order. This talk is based on Ref. [Zerf:2017zqi].

Comments: 10 pages, 3 figures, 2 tables, Proceedings of the 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology), 25-29 September, 2017, St. Gilgen, Austria