Phenomenological aspects of 10D SYM theory with magnetized extra dimensions

TL;DR

This paper develops a 10D super Yang-Mills model compactified on magnetized tori, producing a realistic particle spectrum with hierarchical Yukawa couplings and supersymmetric flavor structures, relevant for understanding quark and lepton masses.

Contribution

It introduces a novel 10D SYM framework with magnetized extra dimensions that naturally generates hierarchical Yukawa couplings and flavor structures in a semi-realistic manner.

Findings

Realistic quark and lepton mass hierarchies achieved

Supersymmetric flavor structures derived from moduli and anomaly mediation

Low-energy spectrum consistent with minimal supersymmetric standard model

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 ${\cal N}=1$ 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.