Meromorphic scaling flow of image supersymmetric image Yang–Mills with matter Original Research Article

β-functions are derived for the flow of image SUSY image Yang–Mills in 4-dimensions with massless matter multiplets in the fundamental representation of the gauge group. The β-functions represent the flow of the couplings as the VEV of the Higgs field is lowered and are modular forms of weight −2. They have the correct asymptotic behaviour at both the strong and weak coupling fixed points. Corrections to the massless β-functions when masses are turned on are discussed.