2017arXiv (Cornell University)Open access

Electroweak Symmetry Breaking and Mass Spectra in Six-Dimensional\n Gauge-Higgs Grand Unification

Yutaka Hosotani, Naoki Yamatsu

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Abstract

The mass spectra of the standard model particles are reproduced in the\n$SO(11)$ gauge-Higgs grand unification in the six-dimensional warped space\nwithout introducing exotic light fermions. Light neutrino masses are explained\nby the gauge-Higgs seesaw mechanism. We evaluate the effective potential of the\n4d Higgs boson appearing as a fluctuation mode of the Aharonov-Bohm phase\n$\\theta_H$ in the extra-dimensioal space, and show that the dynamical\nelectroweak symmetry breaking takes place with the Higgs boson mass $m_H \\sim\n125\\,$GeV and $\\theta_H \\sim 0.1$. The Kaluza-Klein mass scale in the fifth\ndimension is approximately given by $m_{\\rm KK} \\sim 1.230\\,{\\rm TeV}/\\sin\n\\theta_H$.\n

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The mass spectra of the standard model particles are reproduced in the\n$SO(11)$ gauge-Higgs grand unification in the six-dimensional warped space\nwithout introducing exotic light fermions. Light neutrino masses are explained\nby the gauge-Higgs seesaw mechanism. We evaluate the effective potential of the\n4d Higgs boson appearing as a fluctuation mode of the Aharonov-Bohm phase\n$\\theta_H$ in the extra-dimensioal space, and show that the dynamical\nelectroweak symmetry breaking takes place with the Higgs boson mass $m_H \\sim\n125\\,$GeV and $\\theta_H \\sim 0.1$. The Kaluza-Klein mass scale in the fifth\ndimension is approximately given by $m_{\\rm KK} \\sim 1.230\\,{\\rm TeV}/\\sin\n\\theta_H$.\n

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Available abstract

The mass spectra of the standard model particles are reproduced in the\n$SO(11)$ gauge-Higgs grand unification in the six-dimensional warped space\nwithout introducing exotic light fermions. Light neutrino masses are explained\nby the gauge-Higgs seesaw mechanism. We evaluate the effective potential of the\n4d Higgs boson appearing as a fluctuation mode of the Aharonov-Bohm phase\n$\\theta_H$ in the extra-dimensioal space, and show that the dynamical\nelectroweak symmetry breaking takes place with the Higgs boson mass $m_H \\sim\n125\\,$GeV and $\\theta_H \\sim 0.1$. The Kaluza-Klein mass scale in the fifth\ndimension is approximately given by $m_{\\rm KK} \\sim 1.230\\,{\\rm TeV}/\\sin\n\\theta_H$.\n

Key concepts: Physics, Higgs boson, Particle physics, Seesaw mechanism, Electroweak interaction, Grand Unified Theory, Symmetry breaking, Gauge boson

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