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We consider theories with fermionic degrees of freedom that have a fixedpoint of Wilson-Fisher type in non-integer dimension $d = 4-2\epsilon$. Due tothe presence of evanescent operators, i.e., operators that vanish in integerdimensions, these theories contain families of infinitely many operators thatcan mix with each other under renormalization. We clarify the dependence of thecorresponding anomalous-dimension matrix on the choice of renormalizationscheme beyond leading order in $\epsilon$-expansion. In standard choices ofscheme, we find that eigenvalues at the fixed point cannot be extracted from afinite-dimensional block. We illustrate in examples a truncation approach tocompute the eigenvalues. These are observable scaling dimensions, and, indeed,we find that the dependence on the choice of scheme cancels. As an application,we obtain the IR scaling dimension of four-fermion operators in QED in$d=4-2\epsilon$ at order $\mathcal{O}(\epsilon^2)$.

Operator mixing in $\boldsymbol{\epsilon}$-expansion: scheme and evanescent (in)dependence