Speaker
Description
Summary
Recent model building has provided ways to extend the SM into one which features
asymptotic safety.
Here we pursued the question whether the MSSM can also be extended in such a way.
After providing guiding rules regarding the existence of weakly interacting non-gaussian fixed points in supersymmetric models in general and in the MSSM in particular, we discuss the phenomenology of such fixed points. The guiding rules set an upper limit to additional colored particles beyond the MSSM in order to obtain non-gaussian fixed points of the RG flow.
We present searches for AS MSSM extensions which yield some candidates. All of them have in common a matching scale onto the SM of order $\sim$ 1 GeV which makes them phenomenologically not viable.
Using non-perturbative exact relations of superconformal field theories we conclude that the AS candidates may exist beyond perturbation theory.
More work can be done in the search for extensions of the MSSM having UV attractive fixed points. Investigating extensions at higher loop order, extending the gauge group and the possibility of strongly interacting fixed points could all lead to a variety of new asymptotically safe extensions of the MSSM.