Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
V.N.Velizhanin
TL;DR
This paper computes the four-loop universal anomalous dimension in N=4 SYM for twist-2 operators, focusing on the zeta(5) term, and proposes a general formula for arbitrary spin.
Contribution
It provides the first direct calculation of the zeta(5) contribution at four loops and suggests a general form for any Lorentz spin.
Findings
Calculated the zeta(5) term for the first three even moments.
Proposed a general expression for the contribution for arbitrary spin.
Enhanced understanding of anomalous dimensions in N=4 SYM.
Abstract
We present the result of a full direct component calculation for the term proportional to zeta(5) in the four-loop universal anomalous dimension of the twist-2 operators in N =4 supersymmetric Yang-Mills theory for the first three even moments. We suggest the general form such contribution for the arbitrary Lorentz spin of the twist-2 operators.
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