We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to $O({\mathrm{\Delta }}_f^3)$, where ${\mathrm{\Delta }}_f$ is an $N_f$-dependent expansion variable. Our general results are evaluated for several special cases, including the case $G=\mathrm{SU}(N_c)$ with $R$ equal to the fundamental and adjoint representations.

• Received 20 February 2020
• Accepted 8 April 2020

DOI:https://doi.org/10.1103/PhysRevD.101.076018

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Published by the American Physical Society