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Dynamical generation of fermion mass hierarchy in an extra dimension
Fujimoto, Yukihiro,Miura, Takashi,Nishiwaki, Kenji,Sakamoto, Makoto American Physical Society 2018 Physical Review D Vol.97 No.11
<P>We propose a new mechanism to produce a fermion mass hierarchy dynamically in a model with a single generation of fermions. A five-dimensional gauge theory on an interval with point interactions (zero-width brans) takes responsibility for realizing three generations and each massless zero mode localizes at boundaries of the segments on the extra dimension. An extra dimension coordinate-dependent vacuum expectation value of a scalar field makes large differences in overlap integrals of the localized zero modes and then an exponential fermion mass hierarchy can appear. The positions of the point interactions control the magnitude of the fermion mass hierarchy and are determined by the minimization condition of the Casimir energy. As a result of the minimization of the Casimir energy, an exponential mass hierarchy appears dynamically. We also discuss the stability of the extra dimension.</P>
Comprehensive analysis of Yukawa hierarchies onT2/ZNwith magnetic fluxes
Fujimoto, Yukihiro,Kobayashi, Tatsuo,Nishiwaki, Kenji,Sakamoto, Makoto,Tatsuta, Yoshiyuki American Physical Society 2016 Physical Review D Vol.94 No.3
<P>Based on the results of the classification by T.-h. Abe et al., Nucl. Phys. B894, 374 (2015)., we exhaustively investigate Yukawa sector of U(8) model on magnetized orbifolds T-2 / Z(2), T-2 / Z(3), T-2 / Z(4) and T-2 / Z(6) by evaluating ratios of the mass eigenvalues of the three states in all the possible configurations with one and two Higgs pairs where three generations are realized in fermions. Because of the smearing effect via kinetic mixing, one can realize a hierarchy such as 10(-2)-10(-3), but it is very difficult to achieve the mass ratio between the up and top quarks (m(up) / m(top) similar to 10(-5)) on the complicated magnetized orbifolds T-2 / Z(N) (N similar to 3,4,6).</P>
Extended supersymmetry in Dirac action with extra dimensions
Fujimoto, Yukihiro,Hasegawa, Kouhei,Nishiwaki, Kenji,Sakamoto, Makoto,Tatsumi, Kentaro,Ueba, Inori IOP 2018 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Vol.51 No.43
<P>We investigate a new realization of extended quantum-mechanical supersymmetry. We first show that an <img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn001.gif'/> quantum-mechanical supersymmetry is hidden in the four-dimensional (4D) spectrum of the Kaluza–Klein decomposition for the higher dimensional Dirac field, that is, Kaluza–Klein mode functions of 4D right-handed spinors and 4D left-handed ones form <img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn002.gif'/> supermultiplets. In addition to <img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn003.gif'/> supersymmetry, we discover that an <img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn004.gif'/>-extended supersymmetry (<img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn005.gif'/> for <I>d</I> = even (odd) extra dimensions) is further hidden in the 4D spectrum. The extended symmetry can explain additional degeneracy of the spectrum. Furthermore, we show that a superpotential can be introduced into the <img ALIGN='MIDDLE' ALT='' SRC='http://ej.iop.org/images/1751-8121/51/43/435201/aaadea2ieqn006.gif'/>-extended supercharges and clarify the condition to preserve the supersymmetry. The partial breaking of the supersymmetry is also demonstrated.</P>