# Würzburg 2018 – wissenschaftliches Programm

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# T: Fachverband Teilchenphysik

## T 36: Higgs

### T 36.5: Vortrag

### Dienstag, 20. März 2018, 17:35–17:50, Z6 - SR 1.010

**Bounded-From-Below Constraints for General Higgs Potentials** — I. P. Ivanov^{1}, •M. Köpke^{2}, and M. M. Mühlleitner^{2} — ^{1}Instituto Superior Tecnico, Lisbon, Portugal — ^{2}KIT, Institute for Theoretical Physics, Karlsruhe, Germany

In theories with interacting scalar fields, the scalar Higgs potential must be bounded from below in order for a stable vacuum to exist. For general Higgs potentials these constraints for boundedness-from-below are difficult to derive. In the past, they were usually studied on a model by model basis and involved lengthy proofs of inequalities. In this talk, I present a method that can be applied to general Higgs potentials and carried out by a computer, resulting in analytic expressions that can be used to check for the validity of a parameter point of the model.