Non-zeta knots in the renormalization of the Wess-Zumino model?

We solve the Schwinger Dyson equations of the O(N) symmetric Wess-Zumino model at O(1/N3) at the non-trivial fixed point of the d-dimensional β-function and deduce a critical exponent for the wave function renormalization at this order. By developing the ϵ-expansion of the result, which agrees with known perturbation theory, we examine the distribution of transcendental coefficients and show that only the Riemann ζ series arises at this order in 1/N. Unlike the analogous calculation at the same order in the bosonic O(N) φ4-theory non-zeta transcendentals, associated with for example the (3,4)-torus knot, cancel.