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Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model

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We derive analytic necessary and sufficient conditions for the vacuum stability of the left-right symmetric model by using the concepts of copositivity and gauge orbit spaces. We also derive the conditions sufficient for successful symmetry breaking and the existence of a correct vacuum. We then compare results obtained from the derived conditions with those from numerical minimization of the scalar potential. Finally, we discuss the renormalization group analysis of the scalar quartic couplings through an example study that satisfies vacuum stability, perturbativity, unitarity and experimental bounds on the physical scalar masses.

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Decaying scalar dark matter in the minimal left-right symmetric model

hep-ph · 2025-01-24 · conditional · novelty 6.0

The lightest neutral scalar of the SU(2)_R triplet in the minimal left-right model can serve as a long-lived decaying dark matter candidate in the keV to multi-MeV mass range, provided the left-right scale exceeds about 10^15 GeV via a severely fine-tuned quartic coupling.

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  • Decaying scalar dark matter in the minimal left-right symmetric model hep-ph · 2025-01-24 · conditional · none · ref 70 · internal anchor

    The lightest neutral scalar of the SU(2)_R triplet in the minimal left-right model can serve as a long-lived decaying dark matter candidate in the keV to multi-MeV mass range, provided the left-right scale exceeds about 10^15 GeV via a severely fine-tuned quartic coupling.