The soft scalar mass $β$-function

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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 $\epsilon$-scalar mass, and show that it has a particularly simple form in the renormalisation scheme corresponding to the exact NSVZ gauge $\beta$-function.

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