### Abstract

We systematically study VEVs of a gauge scalar field Σ in a bulk U(1) vector multiplet and scalar fields in brane/bulk hypermultiplets charged under U(1) in the 5D S^{1}/Z_{2} orbifold model with generic FI terms. A non-trivial VEV of Σ generates bulk mass terms for U(1) charged fields, and their zero modes have non-trivial profiles. In particular, in the SUSY-breaking case, bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial profiles are useful to explain hierarchical couplings. A toy model for SUSY breaking is studied, and it yields sizable D-term contributions to scalar masses. Because the overall magnitude of D-term contributions is the same everywhere in the bulk and also on both branes, we have to take into account these contributions and other SUSY-breaking terms to obtain a realistic description. We also give profiles and mass eigenvalues of higher modes.

Original language | English |
---|---|

Pages (from-to) | 809-830 |

Number of pages | 22 |

Journal | Progress of Theoretical Physics |

Volume | 109 |

Issue number | 5 |

Publication status | Published - 2003 May |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics*,

*109*(5), 809-830.

**Wave-function profile and SUSY breaking in 5D model with Fayet-Iliopoulos terms.** / Abe, Hiroyuki; Higaki, Tetsutaro; Kobayashi, Tatsuo.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics*, vol. 109, no. 5, pp. 809-830.

}

TY - JOUR

T1 - Wave-function profile and SUSY breaking in 5D model with Fayet-Iliopoulos terms

AU - Abe, Hiroyuki

AU - Higaki, Tetsutaro

AU - Kobayashi, Tatsuo

PY - 2003/5

Y1 - 2003/5

N2 - We systematically study VEVs of a gauge scalar field Σ in a bulk U(1) vector multiplet and scalar fields in brane/bulk hypermultiplets charged under U(1) in the 5D S1/Z2 orbifold model with generic FI terms. A non-trivial VEV of Σ generates bulk mass terms for U(1) charged fields, and their zero modes have non-trivial profiles. In particular, in the SUSY-breaking case, bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial profiles are useful to explain hierarchical couplings. A toy model for SUSY breaking is studied, and it yields sizable D-term contributions to scalar masses. Because the overall magnitude of D-term contributions is the same everywhere in the bulk and also on both branes, we have to take into account these contributions and other SUSY-breaking terms to obtain a realistic description. We also give profiles and mass eigenvalues of higher modes.

AB - We systematically study VEVs of a gauge scalar field Σ in a bulk U(1) vector multiplet and scalar fields in brane/bulk hypermultiplets charged under U(1) in the 5D S1/Z2 orbifold model with generic FI terms. A non-trivial VEV of Σ generates bulk mass terms for U(1) charged fields, and their zero modes have non-trivial profiles. In particular, in the SUSY-breaking case, bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial profiles are useful to explain hierarchical couplings. A toy model for SUSY breaking is studied, and it yields sizable D-term contributions to scalar masses. Because the overall magnitude of D-term contributions is the same everywhere in the bulk and also on both branes, we have to take into account these contributions and other SUSY-breaking terms to obtain a realistic description. We also give profiles and mass eigenvalues of higher modes.

UR - http://www.scopus.com/inward/record.url?scp=0037705895&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037705895&partnerID=8YFLogxK

M3 - Article

VL - 109

SP - 809

EP - 830

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 5

ER -