Improving fermion mass hierarchy in grand gauge–Higgs unification with localized gauge kinetic terms

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素粒子標準模型におけるヒッグス場を高次元ゲージ場の一部とみなす5次元ゲージ・ヒッグス統一理論を大統一理論に拡張した理論を構築し、電弱対称性の破れおよびヒッグス粒子の質量を再現できただけでなく、クォーク・レプトンの質量階層性も不自然なパラメタの微調整をせずに再現することに成功しました。

Grand gauge–Higgs unification of five dimensional SU(6) gauge theory on an orbifold S^1/Z_2 with localized gauge kinetic terms is discussed. The Standard model (SM) fermions on one of the boundaries and some massive bulk fermions coupling to the SM fermions on the boundary are introduced, so that they respect an SU(5) symmetry structure. The SM fermion masses including top quark are reproduced by mild tuning the bulk masses and parameters of the localized gauge kinetic terms. Gauge coupling universality is not guaranteed by the presence of the localized gauge kinetic terms and it severely constrains the Higgs vacuum expectation value. Higgs potential analysis shows that the electroweak symmetry breaking occurs by introducing additional bulk fermions in simplified representations. The localized gauge kinetic terms enhance the magnitude of the compactification scale, which helps Higgs boson mass large. Indeed the observed Higgs boson mass 125 GeV is obtained.

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