On the decoupling of heavy states in higher-derivative supersymmetric field theories

TL;DR

This paper investigates how heavy superfields decouple in four-dimensional N=1 supersymmetric theories with higher-derivative terms, revealing significant quantum corrections even in finite theories with Lorentz-violating or invariant modifications.

Contribution

It demonstrates that large quantum corrections from heavy superfields occur regardless of the presence of divergences, extending previous findings to finite higher-derivative supersymmetric theories.

Findings

Large logarithmic quantum corrections occur even in finite theories.

Decoupling behavior is affected by higher-derivative terms.

Both Lorentz-invariant and Lorentz-violating theories exhibit these effects.

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.