Conformal Behavior at Four Loops and Scheme (In)Dependence

Understand

We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N).

• The fixed points of the beta function are studied at the two, three and four loop level in two different explicit schemes.
• These are the modified regularization invariant, RI', scheme and the minimal momentum subtraction, mMOM, scheme.
• The search is performed in Landau gauge where the beta function of the gauge parameter vanishes.