Four loop renormalization of three-quark operators in QCD

We renormalize generalized three-quark operators that relate to baryon states using the method devised by Kränkl and Manashov at four loops in the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mover accent="true"> <a:mi>MS</a:mi> <a:mo stretchy="true">¯</a:mo> </a:mover> </a:math> 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.