Decoupling of heavy states in higher-derivative supersymmetric field theories

Abstract

Abstract:We study the problem of decoupling of heavy chiral superfields in four-dimensional N = 1 supersymmetric field theories with Lorentz-invariant and Lorentz-violating higher-derivative terms. We demonstrate that the earlier found effect of large logarithmic quantum corrections, due to heavy chiral superfields, takes place not only if the theory possesses quantum divergences, but also for essentially finite theories involving higher derivative terms, both Lorentz-invariant and Lorentz-breaking ones. * Electronic address: cvetic@physics.upenn.edu † Electronic address: tmariz@fis.ufal.br ‡ Electronic address: petrov@fisica.ufpb.br 2

One-loop effective potential in nonlocal supersymmetric theories

“…Another point that we want to mention is that the leading terms of the corrections associated with the non-locality are of the order O(ln Λ). We note that the behavior of quantum corrections for the large Λ in our theory, that is, the presence of logarithmically growing correction together with the 1 Λ suppressed corrections, is rather similar to the higher-derivative superfield theories [21]. Actually, this our study is a generalization of [21] for the infinite-order derivatives.…”