Triplet-Doublet Splitting, Proton Stability and an Extra Dimension

Kawamura, Yoshiharu

doi:10.1143/ptp.105.999

Cited by 440 publications

(265 citation statements)

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“…The split multiplet for the quarks is compatible with orbifold GUT scenarios. For example, in the 6D version of SU (5) case [21], only the quark doublet comes from a bulk 10 as a massless mode 9 . On the other hand, in SO(10) case [23], one has massless Q and L in (4,2,1) under the Pati-Salam group from two bulk 16's.…”

Section: One-loop Mass Correction From Yukawa Interactionmentioning

confidence: 99%

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

Ghilencea

Lee

2005

J. High Energy Phys.

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In orbifold compactifications on T 2 /Z 2 with Scherk-Schwarz supersymmetry breaking, it is shown that (brane-localised) superpotential interactions and (bulk) gauge interactions generate at one-loop higher derivative counterterms to the mass of the brane (or zero-mode of the bulk) scalar field. These brane-localised operators are generated by integrating out the bulk modes of the initial theory which, although supersymmetric, is nevertheless non-renormalisable. It is argued that such operators, of non-perturbative origin and not protected by non-renormalisation theorems, are generic in orbifold compactifications and play a crucial role in the UV behaviour of the two-point Green function of the scalar field self-energy. Their presence in the action with unknown coefficients prevents one from making predictions about physics at (momentum) scales close to/above the compactification scale(s). Our results extend to the case of two dimensional orbifolds, previous findings for S 1 /Z 2 and S 1 /(Z 2 × Z ′ 2 ) compactifications where brane-localised higher derivative operators are also dynamically generated at loop level, regardless of the details of the supersymmetry breaking mechanism. We stress the importance of these operators for the hierarchy and the cosmological constant problems in compactified theories.

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Section: One-loop Mass Correction From Yukawa Interactionmentioning

confidence: 99%

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

Ghilencea

Lee

2005

J. High Energy Phys.

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“…We refer to this scenario as grand gauge-Higgs unification (gGHU). Note that gGHU is different from the orbifold GUT models where boundary conditions directly break GUT symmetry into the standard model gauge symmetry [58][59][60][61][62].…”

Section: Jhep06(2017)018mentioning

confidence: 97%

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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“…(3.1), and suppose that the bulk SU(5) gauge symmetry is broken to the SU(3) C × SU(2) L × U(1)Y subgroup on the IR brane by boundary conditions. In this case, the doublet Higgs fields may be light without being accompanied by their triplet partners if they propagate in the bulk with appropriate boundary conditions imposed at the GUT breaking brane [8,9], or if they are simply located on that brane [37]. In the 4D description, however, this seems to be simply "postulating" particular dynamics of the GUT breaking sector that splits the mass of the doublet components from that of the triplet partners, and it is not clear if this can be regarded as a "solution" to the doublet-triplet splitting problem.…”

Section: Jhep12(2006)002mentioning

confidence: 99%

“…Thus, while the theory with the R symmetry still seems to correspond to a particular choice of GUT breaking dynamics in the 4D description, we may say that the theory does not have the problem of doublet-triplet splitting. 8 After all, the "formulation" of the doublet-triplet splitting problem may have to be changed in the large 't Hooft coupling regime, where physics is specified by the "hadronic" quantities, i.e. matter content, location, and boundary conditions in higher dimensions.…”

Section: Jhep12(2006)002mentioning

confidence: 99%

“…For instance, we can apply 8 An interesting feature of this class of theories is that the low energy theory contains an axion field S that couples to the QCD gauge fields with the decay constant of order the unification scale. This can be used to solve the strong CP problem [39], although the initial amplitude of this field in the early universe must be (accidentally) small to avoid the cosmological difficulty of overclosing the universe.…”

Section: Jhep12(2006)002mentioning

confidence: 99%

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Holographic grand unification

Nomura

Poland

Tweedie

2006

J. High Energy Phys.

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(5) Abstract: We present a framework for grand unification in which the grand unified symmetry is broken spontaneously by strong gauge dynamics, and yet the physics at the unification scale is described by (weakly coupled) effective field theory. These theories are formulated, through the gauge/gravity correspondence, in truncated 5D warped spacetime with the UV and IR branes setting the Planck and unification scales, respectively. In most of these theories, the Higgs doublets arise as composite states of strong gauge dynamics, corresponding to degrees of freedom localized to the IR brane, and the observed hierarchies of quark and lepton masses and mixings are explained by the wavefunction profiles of these fields in the extra dimension. We present several realistic models in this framework. We focus on one in which the doublet-triplet splitting of the Higgs fields is realized within the dynamical sector by the pseudo-Goldstone mechanism, with the associated global symmetry corresponding to a bulk gauge symmetry in the 5D theory. Alternatively, the light Higgs doublets can arise as a result of dynamics on the IR brane, without being accompanied by their triplet partners. Gauge coupling unification and proton decay can be studied in these models using higher dimensional effective field theory. The framework also sets a stage for further studies of, e.g., proton decay, fermion masses, and supersymmetry breaking.

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Triplet-Doublet Splitting, Proton Stability and an Extra Dimension

Cited by 440 publications

References 9 publications

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

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

Holographic grand unification

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Triplet-Doublet Splitting, Proton Stability and an Extra Dimension

Cited by 440 publications

References 9 publications

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T2/Z2.

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T2/Z2.

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

Holographic grand unification

Contact Info

Product

Resources

About

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.