Abstract
A consistent theoretical description of physics at high energies requires an assessment of vacuum stability in either the Standard Model or any extension of it. Especially supersymmetric extensions allow for several vacua and the choice of the desired electroweak one gives strong constraints on the parameter space. As the general parameter space in the Minimal Supersymmetric Standard Model is huge, any severe constraint on it unrelated to direct phenomenological observations enhances the predictability of the model. We perform an updated analysis of possible charge and color breaking minima without relying on fixed directions in field space that minimize certain terms in the potential (known as "D-flat" directions). Concerning the cosmological stability of false vacua, we argue that there are always directions in configuration space which lead to very short-lived vacua and therefore such exclusions are strict. In addition to existing strong constraints on the parameter space, we find even stronger constraints extending the field space compared to previous analyses and combine those constraints with predictions for the light CP-even Higgs mass in the Minimal Supersymmetric Standard Model. Low masses for supersymmetric partners are excluded from vacuum stability in combination with the 125 GeV Higgs and the allowed parameter space opens at a few TeV.
Highlights
JHEP08(2016)126 finite temperatures by the help of CosmoTransitions [37] is given by the Vevacious collaboration [38]
As the general parameter space in the Minimal Supersymmetric Standard Model is huge, any severe constraint on it unrelated to direct phenomenological observations enhances the predictability of the model
In addition to existing strong constraints on the parameter space, we find even stronger constraints extending the field space compared to previous analyses and combine those constraints with predictions for the light CP-even Higgs mass in the Minimal Supersymmetric Standard Model
Summary
The MSSM is a multi-scalar theory and its scalar potential is a complicated object potentially leading to undesired configurations. In the previous honorable and groundbreaking works introducing charge and color breaking solutions for the first time [21, 22] it is correctly stated that for potentials considered in these cases, the trilinear couplings as well as the corresponding field vev s can always be chosen real and positive. This obvious observation, might be used to overconstrain the field space and underconstrain the constraints on the involved parameters. An easy (but maybe CPU intensive) way to check this is to scan over a reasonable range, e.g. η ∈ [−3, 3] and α, β ∈ [0, 2]; with a binning of 0.1 this procedure should find CCB configurations (since the field space regions are quite extended, even coarser binnings should lead to a trustable result)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
