Vacuum (meta-)stability in the $\mu \nu $SSM

Biekötter, Thomas; Heinemeyer, Sven; Weiglein, Georg

doi:10.1140/epjc/s10052-022-10246-8

Vacuum (meta-)stability in the $\mu \nu$ SSM

Thomas Biekötter
(
- DESY
)
,
Sven Heinemeyer
(
- CSIC, Madrid
)
,
Georg Weiglein
(
- DESY and
- Hamburg U., Inst. Theor. Phys. II
)

Dec 22, 2021

35 pages

Published in:

Eur.Phys.J.C 82 (2022) 4, 301

Published: Apr 6, 2022

e-Print:

2112.12132 [hep-ph]

DOI:

10.1140/epjc/s10052-022-10246-8

Report number:

DESY 21-228,
IFT-UAM-CSIC-153

View in:

ADS Abstract Service

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Abstract: (Springer)

We perform an analysis of the vacuum stability of the neutral scalar potential of the

\mu

-from-

\nu

Supersymmetric Standard Model (

\mu \nu

SSM). As an example scenario, we discuss the alignment without decoupling limit of the

\mu \nu

SSM, for which the required conditions on the Higgs sector are derived. We demonstrate that in this limit large parts of the parameter space feature unphysical minima that are deeper than the electroweak minimum. In order to estimate the lifetime of the electroweak vacuum, we calculate the rates for the tunneling process into each unphysical minimum. We find that in many cases the resulting lifetime is longer than the age of the universe, such that the considered parameter region is not excluded. On the other hand, we also find parameter regions in which the electroweak vacuum is short-lived. We investigate how the different regions of stability are related to the presence of light right-handed sneutrinos. Accordingly, a vacuum stability analysis that accurately takes into account the possibility of long-lived metastable vacua is crucial for a reliable assessment of the phenomenological viability of the parameter space of the

\mu \nu

SSM and its resulting phenomenology at the (HL)-LHC.

Note:

35 pages, 4 figures, 3 tables, v2: References added, matches published version

vacuum: stability
sneutrino: right-handed
potential: scalar
lifetime
electroweak interaction
vacuum state
tunneling
long-lived

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