Toward realistic gauge–Higgs grand unification

Furui, Atsushi; Hosotani, Yutaka; Yamatsu, Naoki

doi:10.1093/ptep/ptw116

Cited by 42 publications

(63 citation statements)

References 66 publications

(33 reference statements)

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“…II A. For the explicit form of the functions see [29,87]. The solutions of the system above yields the mass spectra for the various fields as functions of the curvature m n (θ H ) = λ n k. The one loop effective potential resulting from the KK tower contributions with mass is given by,…”

Section: Discussionmentioning

confidence: 99%

Phenomenology of GUT-inspired gauge-Higgs unification

2020

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We perform a detailed investigation of a Grand Unified Theory (GUT)-inspired theory of gauge-Higgs unification. Scanning the model's parameter space with adapted numerical techniques, we contrast the scenario's low energy limit with existing SM and collider search constraints. We discuss potential modifications of di-Higgs phenomenology at hadron colliders as sensitive probes of the gauge-like character of the Higgs self-interactions and find that for phenomenologically viable parameter choices modifications of the order of 20% compared to the SM cross section can be expected. While these modifications are challenging to observe at the LHC, a future 100 TeV hadron collider might be able to constrain the scenario through more precise di-Higgs measurements. We point out alternative signatures that can be employed to constrain this model in the near future.1 A SU (6)-based scenario was discussed in [30], also demonstrating that proton decay can be avoided. 2 A different variant of evolutionary algorithms, namely genetic algorithms, have been employed in the exploration of viable string theory scenarios and the pMSSM in [33,34].

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Section: Discussionmentioning

confidence: 99%

Phenomenology of GUT-inspired gauge-Higgs unification

2020

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“…As in Ref. [35], the BCs at z = z L determine wave functions forÃ µ ,Ã z , andÃ v : From the BCs for the gauge fields summarized in Table 5, the components (2) SU (5)/G SM , are parity even under U 6 . Thus, we find that the low-lying modes of the components (2), We summarize the formulas determining the mass spectrum of 6th dimensional n = 0 modes of A M , for which the arguments in Ref.…”

Section: So(11)mentioning

confidence: 89%

“…(2.20), the mass terms for the 4D components of the SO(11) gauge fields A µ can be read off as where the notation is the same as one in Ref. [35]. We omit them here.…”

Section: Mass Terms For Gauge Bosons On the Uv Branementioning

confidence: 99%

“…In the presence of the brane mass terms |gA µ Φ 32 | 2 on the UV brane, the Neumann BC N is modified to an effective Dirichlet BC D eff for the 5th dimensional zero mode of the SO(11)/SU (5) components of A µ and A v . [35] The equation of motion for A a µ in the y-coordinate is given in the form…”

Section: So(11)mentioning

confidence: 99%

“…In Ref. [35] it is found that the observed mass spectra of the quarks and leptons can be reproduced, while there appear additional exotic particles having unacceptably small masses.…”

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confidence: 99%

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Electroweak symmetry breaking and mass spectra in six-dimensional gauge–Higgs grand unification

Hosotani

Yamatsu

2018

Progress of Theoretical and Experimental Physics

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The mass spectra of the standard model particles are reproduced in the SO(11) gauge-Higgs grand unification in the six-dimensional warped space without introducing exotic light fermions. Light neutrino masses are explained by the gauge-Higgs seesaw mechanism. We evaluate the effective potential of the 4d Higgs boson appearing as a fluctuation mode of the Aharonov-Bohm phase θ H in the extra-dimensioal space, and show that the dynamical electroweak symmetry breaking takes place with the Higgs boson mass m H ∼ 125 GeV and θ H ∼ 0.1. The Kaluza-Klein mass scale in the fifth dimension is approximately given by m KK ∼ 1.230 TeV/ sin θ H .The discovery of the last piece of the standard model (SM) particle, the Higgs boson, seems to imply that the non-vanishing vacuum expectation value (VEV) of the Higgs field spontaneously breaks the electroweak (EW) gauge symmetry SU (2) L × U (1) Y to the electromagnetic gauge symmetry U (1) EM . Almost all observational data at low-energy experiments are consistent with the SM. The SM is a good low-energy effective theory.However, it is not clear whether or not the Higgs boson is a genuine fundamental scalar field, which usually suffers from the so-called gauge hierarchy problem.There are several proposals to overcome the problem by making use of symmetries.One of them is the gauge-Higgs unification. In this theory, the Higgs boson is identified with a part of the extra dimensional component of gauge fields in higher dimensional spacetime [1-5]. It is described as a four-dimensional (4D) fluctuation mode of the Aharonov-Bohm (AB) phase θ H along the extra-dimensional space. The SU (2) L ×U (1) EW unification of the SM is formulated as the SO(5)×U (1) gauge-Higgs unification in the five-dimensional (5D) Randall-Sundrum (RS) warped space [6-16]. According to Refs. [11-14], its phenomenology at low energies under the mass scale of the first Kaluza-Klein (KK) modes is almost the same as in the SM for the AB phase θ H 0.1. Z bosons, which are the first KK modes of γ, Z, and Z R , are predicted around 7 ∼ 9 TeV range for θ H = 0.1 ∼ 0.07. Z bosons can be produced at 14 TeV LHC. [15] At electronpositron linear colliders at the energies of 250 GeV ∼ 1 TeV, the interference effects among γ, Z and Z bosons give distinct signals of the gauge-Higgs unification. [16]To incorporate the SU (3) C gauge symmetry in higher dimensional gauge theories and gauge-Higgs unification scenario, grand unified theories (GUTs) based on a GUT gauge group G GUT (⊃ G SM := SU (3) C × SU (2) L × U (1)) have been discussed in Refs. .The SO(11) gauge-Higgs grand unified theory (GHGUT) is proposed in the 5D Randall-Sundrum (RS) warped space in Ref. [32]. The EW Higgs boson is identified with a part of the 5th dimensional component of the SO(11) gauge bosons. The SO(11) gauge symmetry is reduced first by two different orbifold boundary conditions (BCs) on the UV and IR branes in the RS space. It is reduced to SO(10) by the BC on the UV brane, and to SO(4) × SO(7) by the BC on the IR brane, the resultant symmetry being ...

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SU(6) gauge-Higgs grand unification: minimal viable models and flavor

Angelescu

Bally

Goertz

et al. 2023

J. High Energ. Phys.

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Gauge-Higgs grand unification theories are models of gauge-Higgs unification that extend the electroweak group into a simple group that includes the color symmetry. The minimal option is a gauge-Higgs grand unification based on the SU(6) gauge group, mirroring SU(5) grand unification in 4D while providing a solution to the hierarchy problem. We explore different minimal and realistic novel incarnations of SU(6) gauge-Higgs grand unification. We submit the setup to the various flavor hierarchies observed in nature and, utilizing the power of the fifth dimension, identify an embedding that provides a compelling model of quarks and leptons that naturally explains the mass hierarchies and the CKM/PMNS structure. We perform a detailed study of quark- and lepton-flavor constraints (which are intimately related due to the GUT nature) together with an analysis of the Higgs potential which arises at the loop level. Electroweak precision constraints on the model are discussed and the rich scalar sector is analyzed. Future flavor constraints from upcoming experiments will provide a stringent test for this class of models, while a scalar singlet and leptoquark provide unique targets for current and future collider experiments to probe this solution to various open questions in nature.

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Toward realistic gauge–Higgs grand unification

Cited by 42 publications

References 66 publications

Phenomenology of GUT-inspired gauge-Higgs unification

Phenomenology of GUT-inspired gauge-Higgs unification

Electroweak symmetry breaking and mass spectra in six-dimensional gauge–Higgs grand unification

SU(6) gauge-Higgs grand unification: minimal viable models and flavor

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