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Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model

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arxiv 1907.07153 v2 pith:IWYO4DU7 submitted 2019-07-16 hep-ph

Garv Chauhan This is my paper · ORCID
classification hep-ph
keywords vacuumconditionsscalarstabilitybreakingderiveleft-rightmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Beyond a symmetry-restricted VEV ansatz: transverse stability of an $SU(5)$ special-subgroup vacuum

    hep-ph 2026-07 accept novelty 6.0 of 10

    In an SU(5) Higgs sector, two portal couplings that coincide on the symmetry-preserving vacuum ansatz decide differently the stability of color–weak fluctuations, turning an identical candidate vacuum from a minimum i...

  2. Loop-Level Lepton Flavor Violation and Diphoton Signals in the Minimal Left-Right Symmetric Model

    hep-ph 2025-12 conditional novelty 6.0 of 10

    Recasting axion limits onto the one-loop H3 couplings of the minimal left-right symmetric model excludes the right-handed scale up to 2×10^9 GeV and could eventually probe 6×10^11 GeV.

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

    hep-ph 2025-01 conditional novelty 6.0 of 10

    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 abo...

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