A universal gauge theory model based on E6

Gürsey, Feza; Ramond, Pierre; Sikivie, P.

doi:10.1016/0370-2693(76)90417-2

Cited by 645 publications

(638 citation statements)

References 8 publications

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“…2 Above the PS scale, we maintain the possibility of further unification to a GUT model. Examples are SO(10) [6] or a larger group such as E 6 [7].…”

Section: Jhep05(2014)064mentioning

confidence: 99%

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Multiple scales in Pati-Salam unification models

Hartmann

Kilian

Schnitter

2014

J. High Energ. Phys.

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Abstract:We investigate models where gauge unification (GUT) proceeds in steps that include Pati-Salam symmetry. Beyond the Standard Model, we allow for a well-defined set of small representations of the GUT gauge group. We show that all possible chains of PatiSalam symmetry breaking can be realized in accordance with gauge-coupling unification. We identify, in particular, models with unification near the Planck scale, with intermediate left-right or SU(4) quark-lepton symmetries that are relevant for flavor physics, with new colored particles at accessible energies, and with an enlarged electroweak Higgs sector. We look both at supersymmetric and non-supersymmetric scenarios.

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“…2 Above the PS scale, we maintain the possibility of further unification to a GUT model. Examples are SO(10) [6] or a larger group such as E 6 [7].…”

Section: Jhep05(2014)064mentioning

confidence: 99%

“…Thus, if v Σ = 0 (v T = 0), the Goldstone bosons GB 1−6 (GB 7/8 ) are only mixtures of Φ. 7 In class F, this applies also to the singlet part of TR.…”

Section: Goldstone Bosonsmentioning

confidence: 99%

Multiple scales in Pati-Salam unification models

Hartmann

Kilian

Schnitter

2014

J. High Energ. Phys.

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“…Now, SO (10) even preserves the 16-plet family-structure of G(224) without a need for any extension. By contrast, if one extends G(224) to the still higher symmetry E 6 [23], the advantages (i)-(vi) are retained, but in this case, one must extend the family-structure from a 16 to a 27-plet, by postulating additional fermions. In this sense, there seems to be some advantage in having the effective symmetry below the string scale to be minimally G(224) [or G(214)] and maximally no more than SO (10).…”

Section: Advantages Of the Symmetry G(224) As A Step To Higher Unificmentioning

confidence: 99%

“…References [74,75,76,77,78,79] assume a supersymmetric SU(5) gauge symmetry in 5D, which is broken down to the standard model gauge symmetry in 4D through compactification. References [80] and [81], on the other hand, assume a supersymmetric SO(10) gauge symmetry in 6D and show (interestingly enough) that there are two 5D subspaces containing G(224) and SU(5)×U(1) subgroups 23 By placing the singlet (right-handed) neutrino in the bulk, for example, one can get a light Dirac neutrino [68] with a mass m ν ≈ κv EW M * /M Pl ≈ κ(2 × 10 −5 eV), where M * ≈ 1 TeV, M Pl ≈ 10 19 GeV (as in [68]), and κ is the effective Yukawa coupling. To get m ν ∼ 1/20 eV (for SuperK), one would, however, need too large a κ ∼ 2 × 10 3 and/or too large a value for M * > ∼ 100 TeV; which would seem to face the gauge-hierarchy problem.…”

Section: Conventional Versus Other Approachesmentioning

confidence: 99%

Probing grand unification with fermion masses, neutrino oscillations and proton decay

Pati

2003

Pramana - J Phys

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It is noted that one is now in possession of a set of facts, which may be viewed as the matching pieces of a puzzle; in that all of them can be resolved by just one idea-that is grand unification. These include (i) the observed family-structure, (ii) quantization of electric charge, (iii) the meeting of the three gauge couplings, (iv) neutrino oscillations [in particular the value ∆m 2 (ν µ − ν τ ), suggested by SuperK], (v) the intricate pattern of the masses and mixings of the fermions, including the smallness of V cb and the largeness of θ osc νµντ , and (vi) the need for B-L as a generator to implement baryogenesis (via leptogenesis). All these pieces fit beautifully together within a single puzzle board framed by supersymmetric unification, based on either SO(10) or a string-unified G(224)-symmetry. The two notable pieces of the puzzle still missing, however, are proton decay and supersymmetry.A concrete proposal is presented within a predictive SO(10)/G(224)-framework that successfully describes the masses and mixings of all fermions, including the neutrinos-with eight predictions, all in agreement with observation. Within this framework, a systematic study of proton decay is carried out, which (a) pays special attention to its dependence on the fermion masses, and (b) limits the threshold corrections so as to preserve natural coupling unification. The study updates prior work by Babu, Pati and Wilczek, in the context of both MSSM and its (interesting) variant, the so-called ESSM, by allowing for improved values of the matrix elements and of the short-and long-distance renormalization effects. It shows that a conservative upper limit on the proton lifetime is about (1/3 -2)×10 34 years, with νK + being the dominant decay mode, and quite possibly µ + K 0 and e + π 0 being prominent. This in turn strongly suggests that an improvement in the current sensitivity by a factor of five to ten (compared to SuperK) ought to reveal proton decay. Otherwise some promising and remarkably successful ideas on unification would suffer a major setback. For comparison, some alternatives to the conventional approach to unification pursued here are mentioned at the end.

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“…In addition to the minimal grand unified theory (GUT) based on SU(5) [1], there are well known GUT models based on, for instance, SU(4) × SU(2) L × SU(2) R [2], SO(10) [3], and E 6 [4][5][6]. A common feature shared among various GUT models is that some symmetry breaking mechanism is required to obtain the standard model gauge symmetry G SM = SU(3) C × SU(2) L × U(1) Y at a low-energy regime.…”

Section: Introductionmentioning

confidence: 99%

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

Kojima

Takenaga

Yamashitâ

2017

J. High Energ. Phys.

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Abstract:We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on S 1 /Z 2 . The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional components of gauge fields. We derive one-loop effective potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and E 6 models. In each model, the rank of the residual gauge symmetry that respects the boundary condition imposed at the orbifold fixed points is higher than that of the standard model. We verify that the residual symmetry is broken to the standard model gauge symmetry at the global minima of the effective potential for certain sets of bulk fermion fields in each model.

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A universal gauge theory model based on E6

Cited by 645 publications

References 8 publications

Multiple scales in Pati-Salam unification models

Multiple scales in Pati-Salam unification models

Probing grand unification with fermion masses, neutrino oscillations and proton decay

The standard model gauge symmetry from higher-rank unified groups in grand gauge-Higgs unification models

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