Four loop renormalization of 3-quark operators in QCD

Abstract

We renormalize generalized 3-quark operators that relate to baryon states using the method devised by Kr\"ankl and Manashov at four loops in the MSbar scheme. The anomalous dimensions of the four core operators used to compute nucleon matrix elements are determined and their associated critical exponents are studied in the conformal window using the Banks-Zaks expansion.

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