### 抄録

We consider magnetized orbifolds, where the supersymmetric mass term for a pair of up- and down-type Higgs (super)fields, called μ-term, is localized at the orbifold fixed points, and study the effects on the zero-mode spectra. The zero-mode degeneracy to be identified as the generation in four-dimensional (4D) effective theories is determined by the magnetic fluxes. It is known that multiple Higgs zero-modes appear in general in magnetized orbifold models. We derive the analytic form of the μ-term matrix in the 4D effective theory generated by the localized sources on T^{2}/Z_{2} orbifold fixed points, and find that this matrix can lead to a distinctive pattern of the eigenvalues that yields hierarchical μ-terms for the multiple Higgs fields. The lightest ones can be exponentially suppressed due to the localized wavefunctions of zero-modes determined by the fluxes, while the others are of the order of the compactification scale, which can provide a dynamical origin of the electroweak scale as well as a simultaneous decoupling of extra Higgs fields. We also show that a certain linear combination of the lightest Higgs fields could generate the observed mass ratios of down-type quarks through their Yukawa couplings determined by the wavefunctions.

元の言語 | English |
---|---|

記事番号 | 114732 |

ジャーナル | Nuclear Physics B |

巻 | 947 |

DOI | |

出版物ステータス | Published - 2019 10 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### これを引用

*Nuclear Physics B*,

*947*, [114732]. https://doi.org/10.1016/j.nuclphysb.2019.114732

**Effects of localized μ-terms at the fixed points in magnetized orbifold models.** / Abe, Hiroyuki; Ishida, Makoto; Tatsuta, Yoshiyuki.

研究成果: Article

*Nuclear Physics B*, 巻. 947, 114732. https://doi.org/10.1016/j.nuclphysb.2019.114732

}

TY - JOUR

T1 - Effects of localized μ-terms at the fixed points in magnetized orbifold models

AU - Abe, Hiroyuki

AU - Ishida, Makoto

AU - Tatsuta, Yoshiyuki

PY - 2019/10/1

Y1 - 2019/10/1

N2 - We consider magnetized orbifolds, where the supersymmetric mass term for a pair of up- and down-type Higgs (super)fields, called μ-term, is localized at the orbifold fixed points, and study the effects on the zero-mode spectra. The zero-mode degeneracy to be identified as the generation in four-dimensional (4D) effective theories is determined by the magnetic fluxes. It is known that multiple Higgs zero-modes appear in general in magnetized orbifold models. We derive the analytic form of the μ-term matrix in the 4D effective theory generated by the localized sources on T2/Z2 orbifold fixed points, and find that this matrix can lead to a distinctive pattern of the eigenvalues that yields hierarchical μ-terms for the multiple Higgs fields. The lightest ones can be exponentially suppressed due to the localized wavefunctions of zero-modes determined by the fluxes, while the others are of the order of the compactification scale, which can provide a dynamical origin of the electroweak scale as well as a simultaneous decoupling of extra Higgs fields. We also show that a certain linear combination of the lightest Higgs fields could generate the observed mass ratios of down-type quarks through their Yukawa couplings determined by the wavefunctions.

AB - We consider magnetized orbifolds, where the supersymmetric mass term for a pair of up- and down-type Higgs (super)fields, called μ-term, is localized at the orbifold fixed points, and study the effects on the zero-mode spectra. The zero-mode degeneracy to be identified as the generation in four-dimensional (4D) effective theories is determined by the magnetic fluxes. It is known that multiple Higgs zero-modes appear in general in magnetized orbifold models. We derive the analytic form of the μ-term matrix in the 4D effective theory generated by the localized sources on T2/Z2 orbifold fixed points, and find that this matrix can lead to a distinctive pattern of the eigenvalues that yields hierarchical μ-terms for the multiple Higgs fields. The lightest ones can be exponentially suppressed due to the localized wavefunctions of zero-modes determined by the fluxes, while the others are of the order of the compactification scale, which can provide a dynamical origin of the electroweak scale as well as a simultaneous decoupling of extra Higgs fields. We also show that a certain linear combination of the lightest Higgs fields could generate the observed mass ratios of down-type quarks through their Yukawa couplings determined by the wavefunctions.

UR - http://www.scopus.com/inward/record.url?scp=85071285076&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071285076&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2019.114732

DO - 10.1016/j.nuclphysb.2019.114732

M3 - Article

AN - SCOPUS:85071285076

VL - 947

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 114732

ER -