Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models

Understand

We present a fast and efficient method for studying vacuum stability constraints in multi-scalar theories beyond the Standard Model.

• This method is designed for a reliable use in large scale parameter scans.
• The minimization of the scalar potential is done with the well-known polynomial homotopy continuation, and the decay rate of a false vacuum in a multi-scalar theory is estimated by an exact solution of the bounce action in the one-field case.
• We compare to more precise calculations of the tunnelling path at the tree- and one-loop level and find good agreement for the resulting constraints on the parameter space.