Grand gauge-Higgs unification on T2/Z3 via the diagonal embedding method

Kentaro Kojima (Faculty of Arts and Science, Kyushu University, Fukuoka 819-0395, Japan) ; Kazunori Takenaga (Faculty of Health Science, Kumamoto Health Science University, Izumi-machi, Kumamoto 861-5598, Japan) ; Toshifumi Yamashita (Department of Physics, Aichi Medical University, Nagakute 480-1195, Japan)

We study a novel six-dimensional gauge theory compactified on the T2/Z3 orbifold utilizing the diagonal embedding method. The bulk gauge group is G×G×G, and the diagonal part Gdiag remains manifest in the effective four-dimensional theory. Further spontaneous breaking of the gauge symmetry occurs through the dynamics of the zero modes of the extradimensional components of the gauge field. We apply this setup to the SU(5) grand unified theory and examine the vacuum structure determined by the dynamics of the zero modes. We find bulk matter contents that radiatively induce spontaneous breakings of the unified symmetry GdiagSU(5) down to SU(3)×SU(2)×U(1) at the global minima of the one-loop effective potential for the zero modes. This spontaneous breaking provides notable features such as a realization of the doublet-triplet splitting without a fine tuning and a prediction of light adjoint fields.

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      "source": "APS", 
      "title": "Grand gauge-Higgs unification on <math><mrow><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> via the diagonal embedding method"
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      "value": "We study a novel six-dimensional gauge theory compactified on the <math><mrow><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math> orbifold utilizing the diagonal embedding method. The bulk gauge group is <math><mi>G</mi><mo>\u00d7</mo><mi>G</mi><mo>\u00d7</mo><mi>G</mi></math>, and the diagonal part <math><mrow><msup><mrow><mi>G</mi></mrow><mrow><mi>diag</mi></mrow></msup></mrow></math> remains manifest in the effective four-dimensional theory. Further spontaneous breaking of the gauge symmetry occurs through the dynamics of the zero modes of the extradimensional components of the gauge field. We apply this setup to the <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>5</mn><mo>)</mo></math> grand unified theory and examine the vacuum structure determined by the dynamics of the zero modes. We find bulk matter contents that radiatively induce spontaneous breakings of the unified symmetry <math><mrow><msup><mrow><mi>G</mi></mrow><mrow><mi>diag</mi></mrow></msup><mo>\u2245</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>5</mn><mo>)</mo></mrow></math> down to <math><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo><mo>\u00d7</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></mrow></math> at the global minima of the one-loop effective potential for the zero modes. This spontaneous breaking provides notable features such as a realization of the doublet-triplet splitting without a fine tuning and a prediction of light adjoint fields."
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Published on:
22 August 2023
Publisher:
APS
Published in:
Physical Review D , Volume 108 (2023)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.108.035031
arXiv:
2304.05701
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: