General formulation for proton decay rate in minimal supersymmetric SO(10) GUT

Fukuyama, Takeshi; Ilakovac, Amon; Kikuchi, T.; Meljanac, Stjepan; Okada, Nobuchika

doi:10.1140/epjc/s2005-02283-0

Cited by 106 publications

(159 citation statements)

References 36 publications

(40 reference statements)

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“…(45). A change in the required GUT scale of this order would certainly resuscitate several scenarios [34][35][36][37][38][39][40]! According to our calculation other tests of baryon number violation, such as neutron-antineutron oscillation [41][42][43], should also be highly suppressed.…”

Section: Discussionmentioning

confidence: 99%

Nonperturbative proton stability

Martín

Stavenga

2012

Phys. Rev. D

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Proton decay is a generic prediction of GUT models and is therefore an important channel to detect the existence of unification or to set limits on GUT models. Current bounds on the proton lifetime are around 10 33 years, which sets stringent limits on the GUT scale. These limits are obtained under 'reasonable' assumptions about the size of the hadronic matrix elements. In this paper we present a non-perturbative calculation of the hadronic matrix elements within the chiral bag model of the proton. We argue that there is an exponential suppression of the matrix elements, due to nonperturbative QCD, that stifles proton decay by orders of magnitude -potentially O(10 −10 ). This suppression is present for small quark masses and is due to the chiral symmetry breaking of QCD. Such a suppression has clear implications for GUT models and could resuscitate several scenarios.

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Section: Discussionmentioning

confidence: 99%

Nonperturbative proton stability

Martín

Stavenga

2012

Phys. Rev. D

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“…There are several SO(10) models, in both renormalizable [25][26][27][28][29][30][31][32][33][34][35][36][37][38] and nonrenormalizable [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55] versions (see [56,57] for reviews), where new ingredients are added either to reduce the number of free parameters or to reduce their relevant range. In the first case the predictability of the model is increased, while in the second case the model becomes more natural.…”

Section: Jhep09(2014)095mentioning

confidence: 99%

Order and anarchy hand in hand in 5D SO(10)

Feruglio

Patel

Vicino

2014

J. High Energ. Phys.

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We update a five-dimensional SO(10) grand unified model of fermion masses and mixing angles originally proposed by Kitano and Li. In our setup Yukawa couplings are anarchical and quark and lepton sectors are diversified by the profiles of the fermion zero modes in the extra dimension. The breaking of SO(10) down to SU(5)×U(1) X provides the key parameter that distinguishes the profiles of the different SU(5) components inside the same 16 representation. With respect to the original version of the model, we extend the Higgs sector to explicitly solve the doublet-triplet splitting problem through the missing partner mechanism and we perform a fit to an idealized set of data. By scanning the Yukawa couplings of the model we find that, for large tan β, both normal and inverted ordered neutrino spectrum can be accommodated. However, while the case of inverted order requires a severe fine tuning of the Yukawa parameters, the normal ordering is compatible with an anarchical distribution of Yukawa couplings. Thus, in a natural portion of the parameter space, the model predicts a normal ordered neutrino spectrum, the lightest neutrino mass below 5 meV, and |m ββ | in the range 0.1-5 meV. No particular preference is found for the Dirac CP phase in the lepton sector while the right-handed neutrino masses are too small to explain the baryon asymmetry of the universe through thermal leptogenesis.

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“…While this is in principle possible, in practice it is hard due to the large number of fields. The stage has recently been set, for all the particle masses were computed [34,35], and the preliminary studies show that the situation may be under control [36]. It is interesting that the existence of intermediate mass scales lowers the GUT scale [34,37] (as was found before in models with 54 H and 45 H [38]), allowing for a possibly observable d = 6 proton decay.…”

Section: So(10) Grand Unified Theorymentioning

confidence: 92%

Supersymmetric Grand Unification: The Quest for the Theory

Melfo

Senjanović

2005

Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model

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With the advent of neutrino masses, it has become more and more acknowledged that SO(10) is a more suitable theory than SU(5): it leads naturally to small neutrino masses via the see-saw mechanism, it has a simpler and more predictive Yukawa sector. There is however a rather strong disagreement on what the minimal consistent SO(10) theory is, i.e. what the Higgs sector is. The issue is particularly sensitive in the context of low-energy supersymmetry.

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General formulation for proton decay rate in minimal supersymmetric SO(10) GUT

Abstract: We make an explicit formulation for the proton decay rate in the minimal renormalizable supersymmetric (SUSY) SO (10)

Cited by 106 publications

References 36 publications

Nonperturbative proton stability

Nonperturbative proton stability

Order and anarchy hand in hand in 5D SO(10)

Supersymmetric Grand Unification: The Quest for the Theory

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