Phenomenological aspects of 10D SYM theory with magnetized extra dimensions

Abstract

We present a particle physics model based on a ten-dimensional (10D) super Yang-Mills (SYM) theory compactified on magnetized tori preserving four-dimensional N = 1 supersymmetry. The low-energy spectrum contains the minimal supersymmetric standard model with hierarchical Yukawa couplings caused by a wavefunction localization of the chiral matter fields due to the existence of magnetic fluxes, allowing a semi-realistic pattern of the quark and the lepton masses and mixings. We show supersymmetric flavor structures at low energies induced by a moduli-mediated and an anomaly-mediated supersymmetry breaking. *

Z N twisted orbifold models with magnetic flux

“…We have also determined the coefficients C ji k in eq. (4.7) numerically, 14 The numerical values of C ji k will be confirmed by another approach of the operator formalism given in ref. [55].…”

“…Thus, magnetic flux backgrounds are quite interesting. Indeed, several studies have been carried out to derive four-dimensional realistic models and study their phenomenological aspects, e.g., Yukawa couplings [5], 3 realization of quark/lepton masses and their mixing angles [14], higher order couplings [15], flavor symmetries [16][17][18][19][20][21], massive modes [22], and so on [23][24][25][26][27][28][29][30][31].…”

“…with 14) where α 1 and α τ are allowed to be any real number, and are called Scherk-Schwarz phases. The consistency of the contractible loops, e.g., z → z + 1 → z + 1 + τ → z + τ → z, requires the magnetic flux quantization condition,…”

The 126 GeV Higgs boson mass and naturalness in (deflected) mirage mediation

“…From a theoretical point of view, the flavor-dependent modulus mediation generally appears, e.g., in the case where the Yukawa hierarchy in the SM originates from the wave-JHEP07(2014)077 function localization on a cycle governed by the modulus in extra dimensions (see refs. [49] and [50] for examples in five-and ten-dimensional spacetime, respectively, and references therein). For the latter possibility, D-term contributions to soft scalar masses could arise from the UV-model with an anomalous U(1) A symmetry (see, e.g., ref.…”

Zero-modes on orbifolds: Magnetized orbifold models by modular transformation

“…Indeed, Z 2 orbifold models have been studied on several aspects, e.g. model building [15][16][17][18][19], realization of quark and lepton masses and their mixing angles and CP phase [20][21][22][23]. In addition, it is possible to introduce some degree of freedom on orbifold fixed points, e.g.…”