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We analyse the UV divergences for the scattering amplitude in the Wess-ZuminoSUSY model with the quartic superpotential. Within the superfield formalism, wecalculate the corresponding Feynman diagrams and evaluate their leadingdivergences up to 4 loop order of PT. Then we construct recurrence relationsthat connect the leading UV divergences in subsequent orders of perturbationtheory. These recurrence relations allow us to calculate the leadingdivergences in a pure algebraic way starting from the one loop contribution. Wecheck that the obtained relations correctly reproduce the lower order diagramsevaluated explicitly. At last, we convert the recurrence relations into the RGequations that have integro-differential form. Solving these equations for aparticular sequence of diagrams, we find out the high energy behaviour of theamplitude. We then argue that the full amplitude has a similar behaviour withthe key feature of the existence of a pole in the s-channel corresponding to astate with a mass ~1/g, where g is the original dimensionfull coupling of thetheory. We find out the this state is actually a ghost one similar to theLandau pole in scalar theory.

UV Divergences, RG Equations and High Energy Behaviour of the Amplitudes in the Wess-Zumino Model with Quartic Interaction