General gauge-Yukawa-quartic β-functions at 4-3-2-loop order
Joshua Davies, Florian Herren, Anders Eller Thomsen
Abstract
A bstract We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa β -functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the β -functions, we compare the general form to the specific β -functions of known theories to constrain the unknown coefficients. The Weyl consistency conditions provide additional constraints, completing the determination.
Topics & Concepts
Yukawa potentialQuartic functionParametrization (atmospheric modeling)Gauge (firearms)Consistency (knowledge bases)Loop (graph theory)Mathematical physicsBETA (programming language)Order (exchange)PhysicsBeta function (physics)Set (abstract data type)MathematicsGauge theoryPure mathematicsParticle physicsCombinatoricsQuantum mechanicsDiscrete mathematicsComputer scienceThermal quantum field theoryHistoryQuantum gravityEconomicsFinanceRadiative transferQuantumProgramming languageArchaeologyParticle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions