Bardeen-Anomaly and Wess-Zumino Term in the Supersymmetric Standard Model

TL;DR

This paper constructs the Bardeen anomaly and Wess-Zumino term within the supersymmetric standard model, expressing them through a composite superfield linked to supersymmetrized Chern-Simons forms, with applications to gaugino g-2 calculations.

Contribution

It introduces a supersymmetric formulation of the Bardeen anomaly and Wess-Zumino term using a composite superfield, connecting anomaly structures to string theory concepts.

Findings

Anomaly expressed via a composite linear superfield.

Relation to supersymmetrized Chern-Simons forms established.

Application to gaugino g-2 in heavy top scenarios.

Abstract

We construct the Bardeen anomaly and its related Wess-Zumino term in the supersymmetric standard model. In particular we show that it can be written in terms of a composite linear superfield related to supersymmetrized Chern-Simons forms, in very much the same way as the Green-Schwarz term in four-dimensional string theory. Some physical applications, such as the contribution to the g-2 of gauginos when a heavy top is integrated out, are briefly discussed.