At most one renormalization scheme can keep the leading term of the large-Nf beta function dominant, so truncated large-Nf predictions of ultraviolet fixed points are not scheme-robust.
Large $N_f$ for multiple representations
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abstract
We present an extension of the large $N_f$ formalism that allows to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group, independently on the fermion representation. This result validates the conjectured existence of an interactive UV fixed point for non-abelian gauge theories with large fermion multiplicity. Finally, we apply our results to chiral gauge theories and to extended Grand Unified Theories.
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Probing Large $N_f$ Through Schemes
At most one renormalization scheme can keep the leading term of the large-Nf beta function dominant, so truncated large-Nf predictions of ultraviolet fixed points are not scheme-robust.