SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model

Abstract

Modular flavor symmetry can be used to explain the quark and lepton flavor structures. The SUSY partners of quarks and leptons, which share the same superpotential with the quarks and leptons, will also be constrained by the modular flavor structure and show a different flavor(mixing) pattern at the GUT scale. So, in realistic modular flavor models with SUSY completion, constraints from the collider and DM constraints can also be used to constrain the possible values of the modulus parameter. In the first part of this work, we discuss the possibility that the $S_3$ modular symmetry can be preserved by the fixed points of $T^2/Z_N$ orbifold, especially from $T^2/Z_2$. To illustrate the additional constraints from collider etc on modular flavor symmetry models, we take the simplest UV SUSY-completion $S_3$ modular invariance SU(5) GUT model as an example with generalized gravity mediation SUSY breaking mechanism. We find that such constraints can indeed be useful to rule out a large portion of the modulus parameters. Our numerical results show that the UV-completed model can account for both the SM (plus neutrino) flavor structure and the collider, DM constraints. Such discussions can also be applied straightforwardly to other modular flavor symmetry models, such as $A_4$ or $S_4$ models.

16 pages,3 figures

References in corpus (7)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• micrOMEGAs2.0: a program to calculate the relic density of dark matter in a generic model
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Stringy origin of non-Abelian discrete flavor symmetries
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• A split SUSY model from SUSY GUT

Cited by in corpus (22)

• Residual flavor symmetry breaking in the landscape of modular flavor models
• $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau =\omega$
• Modular symmetry in the SMEFT
• A minimal modular invariant neutrino model
• A simplest modular $S_3$ model for leptons
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
• Subcritical regime of hybrid inflation with modular $A_4$ symmetry
• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• Modular flavor symmetry and vector-valued modular forms
• Two A5 modular symmetries for Golden Ratio 2 mixing
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Nonholomorphic $A_4$ modular invariance for fermion masses and mixing in SU(5) GUT
• Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry
• Generalized Matter Parities from Finite Modular Symmetries
• Minimal Modular Flavor Symmetry and Lepton Textures Near Fixed Points
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry