Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory
A. V. Bednyakov, Andrey Pikelner
Abstract
We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is fixing unknown coefficients in the most general ansatz for beta functions by direct calculation in several simplified models. We apply our results to the standard model and its extension with an arbitrary number of Higgs doublets and provide expressions for all four-loop gauge couplings beta functions with matrix Yukawa interactions.
Topics & Concepts
Yukawa potentialPhysicsAnsatzBeta function (physics)Loop (graph theory)Gauge theoryHiggs bosonBETA (programming language)Mathematical physicsGauge (firearms)Quantum field theoryStandard Model (mathematical formulation)Particle physicsTheoretical physicsQuantum electrodynamicsQuantumQuantum mechanicsQuantum gravityThermal quantum field theoryMathematicsCombinatoricsHistoryComputer scienceArchaeologyProgramming languageParticle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions