Impact of vacuum stability constraints on the phenomenology of supersymmetric models
Abstract
We present a fast and efficient method for studying vacuum stability constraints in multiscalar 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 wellknown polynomial homotopy continuation, and the decay rate of a false vacuum in a multiscalar theory is estimated by an exact solution of the bounce action in the onefield case. We compare to more precise calculations of the tunnelling path at the tree and oneloop level and find good agreement for the resulting constraints on the parameter space. Numerical stability, runtime and reliability are significantly improved compared to approaches existing in the literature. This procedure is applied to several phenomenologically interesting benchmark scenarios defined in the Minimal Supersymmetric Standard Model. We utilize our efficient approach to study the impact of simultaneously varying multiple fields and illustrate the importance of correctly identifying the most dangerous minimum among the minima that are deeper than the electroweak vacuum.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2019
 DOI:
 10.1007/JHEP03(2019)109
 arXiv:
 arXiv:1812.04644
 Bibcode:
 2019JHEP...03..109H
 Keywords:

 Beyond Standard Model;
 Higgs Physics;
 Supersymmetric Standard Model;
 High Energy Physics  Phenomenology
 EPrint:
 36 pages, 13 figures, updated Delta_tau corrections and FeynHiggs version, added references, conclusions unchanged