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arXiv · 2107.00342

Five-dimensional CFTs from the $\epsilon$-expansion

Fabiana De Cesare·Lorenzo Di Pietro·Marco Serone
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Abstract

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 $\overline{{\rm MS}}$ $\beta$-function and employing Pad\'e-Borel resummation techniques and Pad\'e approximants to the series expansion in $\epsilon$. We find evidence for a $5d$ UV-fixed point for $SU(2)$ theories with $n_f\leq 4$. 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.

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Fabiana De Cesare, Lorenzo Di Pietro, Marco Serone. 2021-07-01. Five-dimensional CFTs from the $\epsilon$-expansion. https://doi.org/10.1103/physrevd.104.105015

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