The soft scalar mass $\beta$-function

Abstract

We present an exact formula for the $\beta$-function for the soft-breaking scalar mass in an N=1 supersymmetric gauge theory, in the form of an operator acting on the anomalous dimension. In particular we give the exact form for the correction due to the $ϵ$-scalar mass, and show that it has a particularly simple form in the renormalisation scheme corresponding to the exact NSVZ gauge $\beta$-function.

Comments: 10 pages. Plain TeX. Uses Harvmac