Consistency of non-minimal renormalisation schemes
I. Jack, C. Poole
TL;DR
This paper investigates the consistency of non-minimal renormalisation schemes like MOM by constructing coupling redefinitions up to three-loop order for various theories, ensuring their linkage to the MSbar scheme.
Contribution
It provides a detailed method to implement coupling redefinitions linking non-minimal schemes to MSbar up to three loops for general fermion and scalar theories.
Findings
Coupling redefinitions can be constructed up to three-loop order.
The method applies to four-dimensional fermion and scalar theories.
The approach extends to six-dimensional scalar theories.
Abstract
Non-minimal renormalisation schemes such as the momentum subtraction scheme (MOM) have frequently been used for physical computations. The consistency of such a scheme relies on the existence of a coupling redefinition linking it to MSbar. We discuss the implementation of this procedure in detail for a general theory and show how to construct the relevant redefinition up to three-loop order, for the case of a general theory of fermions and scalars in four dimensions and a general scalar theory in six dimensions.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics