From prototype to realistic SUSY GUT

Chkareuli, J.L.; Froggatt, C.D.; Gogoladze, Ilia; Kobakhidze, Archil

doi:10.1016/s0550-3213(00)00660-x

Cited by 15 publications

(19 citation statements)

References 46 publications

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“…The point is that the basic adjoint Σ moduli mass ratio M 3 /M 8 appears, according to the missing VEV vacua (5), to be 2 and 1/2 for SU (7) and SU (8) respectively. As was shown in recent papers [9,14], this ratio essentially determines the high-energy behavior of the MSSM gauge couplings. In fact it follows that the unification scale in SU (7) is pushed to the string scale [9], while the unification scale in SU (8) ranges, at best, close to the standard unification value [6].…”

Section: Yukawa Couplingsmentioning

confidence: 70%

“…If it is granted that the "missing VEV subgroup" SU(N −k) in (6) is just the weak symmetry group SU(2) W , as is traditionally argued [7], one is led to SU (8) as the minimal GUT symmetry (N − k = 2, k/2 = 3) [6]. Another, and in fact the minimal, possibility is to identify SU(N − k) with the colour symmetry group SU(3) C in the framework of an SU (7) GUT symmetry (N − k = 3, k/2 = 2) [9]. The higher SU(N) GUT solutions, if considered, are also based on just those two principal possibilities: the weak-component or colour-component missing VEV vacuum configurations respectively.…”

Section: The Two-adjoint Alternativementioning

confidence: 99%

“…There is also a set of Higgs superfields among which are the two already mentioned adjoint Higgs multiplets Σ A B and Ω A B , responsible for the breaking (6,9) of SU (7), and a conjugate pair of multiplets H [AB] andH [AB] (being the 21-plets of the SU (7)) where the ordinary electroweak doublets H u and H d reside. Besides, as in the general SU(N) case (see Section 2.2), there should be extra-symmetry breaking scalar superfields ϕ (p) and ϕ (p) (p = 1, 2) which are taken to be fundamental septets and anti-septets respectively.…”

Section: Projection To Low Energiesmentioning

confidence: 99%

“…where the combination of the primary coupling constants f, f and y, can be taken O (1) In much the same way all the additional states in the SU (7) matter multiplets (18) become superheavy during the starting GUT symmetry breaking SU(7) → SU(5) [9].…”

Section: Higgs Sectormentioning

confidence: 99%

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Lepton number violation in supersymmetric grand unified theories

Chkareuli

Froggatt

2000

Physics Letters B

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We argue that the nature of the global conservation laws in Supersymmetric Grand Unified Theories is determined by the basic vacuum configuration in the model rather than its Lagrangian. It is shown that the suppression of baryon number violation in a general (Rparity violating) superpotential can naturally appear in some extended SU(N) SUSY GUTs which, among other degenerate symmetry-breaking vacua, have a missing VEV vacuum configuration giving a solution to the doublet-triplet splitting problem. We construct SU(7) and SU(8) GUTs where the effective lepton number violating couplings immediately evolve, while the baryon number non-conserving ones are safely projected out as the GUT symmetry breaks down to that of the MSSM.However at the next stage, when SUSY breaks, the radiative corrections shift the missing VEV components to some nonzero values of order M SU SY , thereby inducing the ordinary Higgs doublet mass, on the one hand, and tiny baryon number violation, on the other. So, a missing VEV solution to the gauge hierarchy problem leads at the same time to a similar hierarchy of baryon vs lepton number violation.

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Section: Yukawa Couplingsmentioning

confidence: 70%

Section: The Two-adjoint Alternativementioning

confidence: 99%

Section: Projection To Low Energiesmentioning

confidence: 99%

Section: Higgs Sectormentioning

confidence: 99%

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Lepton number violation in supersymmetric grand unified theories

Chkareuli

Froggatt

2000

Physics Letters B

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“…We construct an explicit example of the R-parity violating SU(7) GUT [13]. The preference given to SU(7) model over other grand unified frameworks is essentially determined by the missing VEV solution to the doublet-triplet splitting problem which naturally appears in SU(N) GUTs starting from the SU(7) [14].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetry inspired minimal lepton number violation

Chkareuli¹,

Gogoladze

Green

et al. 2000

Phys. Rev. D

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A minimal lepton number violation (LNV) is proposed which could naturally appear in SUSY theories, if Yukawa and LNV couplings had a common origin. According to this idea properly implemented into MSSM with an additional abelian flavor symmetry the prototype LNV appears due to a mixing of leptons with superheavy Higgs doublet mediating Yukawa couplings. As a result, all significant physical manifestations of LNV reduce to those of the effective trilinear couplings LLE and LQD aligned, by size and orientation in a flavor space, with the down fermion (charged lepton and down quark ) effective Yukawa couplings, while the effective bilinear terms appear generically suppressed relative to an ordinary µ-term of MSSM. Detailed phenomenology of the model related to the flavor-changing processes both in quark and lepton sectors, radiatively induced neutrino masses and decays of the LSP is presented. Remarkably, the model can straightforwardly be extended to a Grand Unified framework and an explicit example with SU (7) GUT is thoroughly discussed.

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On the chirality of the SM and the fermion content of GUTs

Fonseca

2015

Nuclear Physics B

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The Standard Model (SM) is a chiral theory, where right- and left-handed fermion fields transform differently under the gauge group. Extra fermions, if they do exist, need to be heavy otherwise they would have already been observed. With no complex mechanisms at work, such as confining interactions or extra-dimensions, this can only be achieved if every extra right-handed fermion comes paired with a left-handed one transforming in the same way under the Standard Model gauge group, otherwise the new states would only get a mass after electroweak symmetry breaking, which would necessarily be small ($\sim100\textrm{ GeV}$). Such a simple requirement severely constrains the fermion content of Grand Unified Theories (GUTs). It is known for example that three copies of the representations $\mathbf{\overline{5}}+\mathbf{10}$ of $SU(5)$ or three copies of the $\mathbf{16}$ of $SO(10)$ can reproduce the Standard Model's chirality, but how unique are these arrangements? In a systematic way, this paper looks at the possibility of having non-standard mixtures of fermion GUT representations yielding the correct Standard Model chirality. Family unification is possible with large special unitary groups --- for example, the $\mathbf{171}$ representation of $SU(19)$ may decompose as $3\left(\mathbf{16}\right)+\mathbf{120}+3\left(\mathbf{1}\right)$ under $SO(10)$.Comment: Minor changes; matches publication in Nuclear Physics

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From prototype to realistic SUSY GUT

Cited by 15 publications

References 46 publications

Lepton number violation in supersymmetric grand unified theories

Lepton number violation in supersymmetric grand unified theories

Supersymmetry inspired minimal lepton number violation

On the chirality of the SM and the fermion content of GUTs

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