Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-06
Phys.Rev. D64 (2001) 115012
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages
Scientific paper
10.1103/PhysRevD.64.115012
The renormalization of softly broken SQED is related to the one of supersymmetric QED by using the construction with a local gauge supercoupling and by taking into account softly broken anomalous axial U(1) symmetry. From this extended model one obtains the non-renormalization theorems of SQED and the counterterms of the soft breaking parameters as functions of the supersymmetric counterterms. Due to the Adler-Bardeen anomaly of the axial current an invariant regularization scheme does not exist, and therefore the $\beta$-functions of soft breaking parameters are derived from an algebraic construction of the Callan-Symanzik equation and of the renormalization group equation. We obtain the soft $\beta$-functions in terms of the gauge $\beta$-function and of the anomalous dimension of the supersymmetric matter mass. In particular, we find that the X-term of the scalar mass $\beta$-function as well as the gauge $\beta$-function in $l\geq 2$ are due to the Adler-Bardeen anomaly of the axial symmetry.
Kraus Elisabeth
Stöckinger Dominik
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