Five-dimensional CFTs from the epsilon-expansion

We look for UV fixed points of non-Abelian SU(n(c)) gauge theories in 4 + 2 epsilon dimensions with n(f) Dirac fermions in the fundamental representation, using the available five-loop (MS) over bar beta-function and employing Pade-Borel resummation techniques and Pade ' approximants to the series expansion in epsilon. We find evidence for a five-dimensional UV fixed point for SU(2) theories with n(f) <= 4 and pure SU(n(c)) theories for n(c) <= 4. We also compute the anomalous dimensions gamma and gamma(g) of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point.