Five-dimensional CFTs from the ϵ -expansion

Abstract

We look for UV fixed points of non-Abelian SU(nc) gauge theories in 4+2ϵ dimensions with nf Dirac fermions in the fundamental representation, using the available five-loop MS¯ β-function and employing Padé-Borel resummation techniques and Padé approximants to the series expansion in ϵ. We find evidence for a five-dimensional UV fixed point for SU(2) theories with nf≤4 and pure SU(nc) theories for nc≤4. We also compute the anomalous dimensions γ and γg of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point.