AN EXPLICIT SO(10)×U(1)F MODEL OF THE YUKAWA INTERACTIONS

Albright, Carl H.; Nandi, S.

doi:10.1142/s0217732396000746

Cited by 14 publications

(7 citation statements)

References 11 publications

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“…[13] and those proposed previously in Ref. [14,15]. Moreover, some of the above conditions can be weakened.…”

Section: The Vacuum Expectation Values (Vevs) Of Gutsupporting

confidence: 51%

“…The argument given is strongly dependent on the vacuum structure (1), which is naturally realized in the GUT scenario with anomalous [18] U (1) A gauge symmetry [13]. Our results can also be applied to previously studied GUT scenarios with anomalous U (1) A symmetry [14,15], distinct from that considered here, if all the VEVs of the G-singlets satisfies the VEV relations (1), even in the case that there are some flat directions.…”

Section: Discussion and Summarymentioning

confidence: 57%

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Gauge Coupling Unification with Anomalous U(1)A Gauge Symmetry

Maekawa

2002

Progress of Theoretical Physics

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Recently, we proposed a natural scenario of grand unified theories with anomalous U (1) A gauge symmetry, in which doublet-triplet splitting is realized in SO(10) unification using the Dimopoulos-Wilczek mechanism, and realistic quark and lepton mass matrices can be obtained in a simple way. The scenario has an additional noteworthy feature that the symmetry breaking scale and the mass spectrum of super heavy particles are determined essentially by anomalous U (1) A charges. Therefore, once all the anomalous U (1) A charges are fixed, the gauge coupling flows can be calculated. We examine several models in which gauge coupling unification is realized. Examining the conditions for the coupling unification, we show that when all the fields except those of the minimal SUSY standard model become super heavy, the unification scale generically becomes just below the usual GUT scale, Λ G ∼ 2 × 10 16 GeV, and the cutoff scale becomes around Λ G . Since the lower GUT scale leads to a shorter lifetime of nucleons, proton decay via the dimension-six operator, p → e + π 0 , should be observed in future experiments. On the other hand, a cutoff scale lower than the Planck scale may imply the existence of an extra dimension in which only gravity modes can propagate. * ) Downloaded from 598 N. Maekawa neutrino, to be unified into a single multiplet, which is important in investigating neutrino masses.Second, one of the most difficult problems is the "doublet-triplet (DT) splitting problem". Generally, a fine-tuning is required to obtain the light SU (2) L doublet Higgs multiplet of the weak scale while keeping the triplet Higgs sufficiently heavy to suppress dangerous proton decay. There have been several attempts to solve this problem. 10), 11) Among them, the Dimopoulos-Wilczek mechanism provides a promising way to realize DT splitting in the SO(10) SUSY GUT. 11) -14)Finally, there is a rather theoretical problem, which has not been emphasized in the literature. If we adopt an ajoint Higgs field A to break the GUT gauge group, the superpotential is generically given by W = ∞ n A n . In vacua, the GUT gauge group is generically broken to U (1) r , where r is the rank of the GUT gauge group. It is unnatural to obtain the standard gauge group SU (3) C ×SU (2) L ×U (1) Y from this superpotential, because the model has an infinite number of vacua other than the standard vacuum. The point of this problem is that the infinite number of terms A n lead to an infinite number of solutions to the F -flatness conditions. In order to avoid this problem, we have to restrict the number of terms. At least for SU (5) unification, we can impose renormalizability to avoid this problem. Then the superpotential becomes W = A 2 + A 3 , which naturally gives the standard gauge group below the GUT scale. However, for SO(10) or E 6 unification, this cannot be done, because A 3 is not allowed under the gauge symmetry. Moreover, in the context of the Wilsonian renormalization group, renormalizability is not a principle to be imposed, but a resulting feat...

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“…[13] and those proposed previously in Ref. [14,15]. Moreover, some of the above conditions can be weakened.…”

Section: The Vacuum Expectation Values (Vevs) Of Gutsupporting

confidence: 51%

Section: Discussion and Summarymentioning

confidence: 57%

Gauge Coupling Unification with Anomalous U(1)A Gauge Symmetry

Maekawa

2002

Progress of Theoretical Physics

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show abstract

“…Our results can also be applied to previously studied GUT scenarios with anomalous U (1) A symmetry [14,15], distinct from that considered here, if all the VEVs of the G-singlets satisfies the VEV relations (1), even in the case that there are some flat directions.…”

Section: Discussion and Summarymentioning

confidence: 69%

“…[13] and those proposed previously in Ref. [14,15]. Moreover, some of the above conditions can be weakened.…”

Section: The Vacuum Expectation Values (Vevs) Of Gutmentioning

confidence: 70%

Gauge Coupling Unification in Grand Unified Theories with Anomalous U(1) Symmetry

Maekawa

Yamashitâ²

2003

Phys. Rev. Lett.

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We show that in the framework of grand unified theory (GUT) with anomalous U (1)A gauge symmetry, the success of the gauge coupling unification in the minimal SU (5) GUT is naturally explained, even if the mass spectrum of superheavy fields does not respect SU (5) symmetry. Because the unification scale for most realizations of the theory becomes smaller than the usual GUT scale, it suggests that the present level of experiments is close to that sufficient to observe proton decay via dimension 6 operators, p → e + π.

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“…This has been explored extensively in the framework of SO(10) models. One way of motivating the observed patterns is to impose an additional flavor symmetry, also known as a horizontal symmetry, which constrains the Yukawa matrices and thereby imposes a flavor pattern [18,[29][30][31][32][33][34][35][36][37][38][39][40]. Other models with zero Yukawa matrix textures are also discussed in refs.…”

Section: Introductionmentioning

confidence: 99%

Flavor symmetries in the Yukawa sector of non-supersymmetric SO(10): numerical fits using renormalization group running

Ohlsson

Pernow

2021

J. High Energ. Phys.

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We consider a class of SO(10) models with flavor symmetries in the Yukawa sector and investigate their viability by performing numerical fits to the fermion masses and mixing parameters. The fitting procedure involves a top-down approach in which we solve the renormalization group equations from the scale of grand unification down to the electroweak scale. This allows the intermediate scale right-handed neutrinos and scalar triplet, involved in the type I and II seesaw mechanisms, to be integrated out at their corresponding mass scales, leading to a correct renormalization group running. The result is that, of the 14 models considered, only two are able to fit the known data well. Both these two models correspond to ℤ2 symmetries. In addition to being able to fit the fermion masses and mixing parameters, they provide predictions for the sum of light neutrino masses and the effective neutrinoless double beta decay mass parameter, which are both within current observational bounds.

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AN EXPLICIT SO(10)×U(1)_F MODEL OF THE YUKAWA INTERACTIONS

Cited by 14 publications

References 11 publications

Gauge Coupling Unification with Anomalous U(1)A Gauge Symmetry

Gauge Coupling Unification with Anomalous U(1)A Gauge Symmetry

Gauge Coupling Unification in Grand Unified Theories with Anomalous U(1) Symmetry

Flavor symmetries in the Yukawa sector of non-supersymmetric SO(10): numerical fits using renormalization group running

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