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

N1 - Funding Information:
The authors would like to thank Yutaka Sakamura for useful discussions. Y.T. would like to thank Wilfried Buchmüller for instructive comments on this manuscript. H. A. was supported in part by JSPS KAKENHI Grant Number JP16K05330 and also supported by Institute for Advanced Theoretical and Experimental Physics , Waseda University . Y.T. is supported in part by Grants-in-Aid for JSPS Research Fellow (No. 16J04612 ) and JSPS Overseas Research Fellow (No. 18J60383 ) from the Ministry of Education, Culture, Sports, Science and Technology in Japan.
Publisher Copyright:
© 2019 The Author(s)

PY - 2019/10

Y1 - 2019/10

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.

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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 -