Light colour-triplet Higgs is compatible with proton stability: An alternative approach to the doublet-triplet splitting problem

Gia Dvali

    Research output: Contribution to journalArticle

    Abstract

    It is usually assumed that the proton stability requires the coloured triplet partner of the electroweak Higgs doublet to be superheavy (with a mass ≃ MGUT). We show that this is a very model-dependent statement and that the colour triplet can be as light as the weak doublet without leading to the proton decay problem. This implies an alternative approach to the doublet-triplet splitting problem: instead of using the mass difference the splitting can occur between the doublet and triplet Yukawa coupling constants so that the light Higgs triplet can appear decoupled from the quarks and leptons and cannot lead to the proton decay. In this scenario the GUT symmetry breaking automatically induces an extremely strong suppression ≃ MW/MGUT of the coloured Higgs effective Yukawa coupling; this happens without any fine-tuning, just because of the Clebsch factors. Conceptual differences of the above picture are: (1) an essentially stable proton: both d = 5 and d = 6 proton decay mediating operators are suppressed by the same factors ≃ (Mw/MGUT)2; (2) the possibility of solving the μ problem by the light gauge singlet field (this fact would lead to the destabilization of the hierarchy in the standard case); (3) the existence of the long-lived, light, coloured and charged supermultiplet in the 100 GeV to 1 TeV mass region, which can be the subject of an experimental search. We construct two explicit SO(10) examples with the above properties, with superpotentials most general under the symmetries.

    Original languageEnglish (US)
    Pages (from-to)113-120
    Number of pages8
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume372
    Issue number1-2
    StatePublished - Apr 4 1996

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    color
    protons
    decay
    grand unified theory
    destabilization
    hierarchies
    leptons
    broken symmetry
    tuning
    retarding
    quarks
    operators
    symmetry

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

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    abstract = "It is usually assumed that the proton stability requires the coloured triplet partner of the electroweak Higgs doublet to be superheavy (with a mass ≃ MGUT). We show that this is a very model-dependent statement and that the colour triplet can be as light as the weak doublet without leading to the proton decay problem. This implies an alternative approach to the doublet-triplet splitting problem: instead of using the mass difference the splitting can occur between the doublet and triplet Yukawa coupling constants so that the light Higgs triplet can appear decoupled from the quarks and leptons and cannot lead to the proton decay. In this scenario the GUT symmetry breaking automatically induces an extremely strong suppression ≃ MW/MGUT of the coloured Higgs effective Yukawa coupling; this happens without any fine-tuning, just because of the Clebsch factors. Conceptual differences of the above picture are: (1) an essentially stable proton: both d = 5 and d = 6 proton decay mediating operators are suppressed by the same factors ≃ (Mw/MGUT)2; (2) the possibility of solving the μ problem by the light gauge singlet field (this fact would lead to the destabilization of the hierarchy in the standard case); (3) the existence of the long-lived, light, coloured and charged supermultiplet in the 100 GeV to 1 TeV mass region, which can be the subject of an experimental search. We construct two explicit SO(10) examples with the above properties, with superpotentials most general under the symmetries.",
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