The first string-derived eclectic flavor model with realistic phenomenology

Abstract

Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter fields, imposing strict constraints on the structure of the effective potential, which result in controlled corrections. We study the lepton and quark flavor phenomenology of an explicit, potentially realistic example model based on a T6/Z3xZ3 orbifold compactification of the heterotic string that gives rise to an Omega(2) eclectic flavor symmetry. We find that the interplay of flavon alignment and the localization of the modulus in the vicinity of a symmetry-enhanced point leads to naturally protected fermion mass hierarchies, favoring normal-ordered neutrino masses arising from a see-saw mechanism. We show that our model can reproduce all observables in the lepton sector with a small number of parameters and deliver predictions for so far undetermined neutrino observables. Furthermore, we extend the fit to quarks and find that Kaehler corrections are instrumental in obtaining a successful simultaneous fit to the quark and lepton sectors.

arXiv comment28 pages + appendices, 7 figures, 7 tables; v2: references added, discussion extended, typos in app. C corrected, results unchanged, matches JHEP version

References in corpus (72)

• emcee: The MCMC Hammer
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Non-Abelian Discrete Symmetries in Particle Physics
• Strong Coupling Expansion Of Calabi-Yau Compactification
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Stringy origin of non-Abelian discrete flavor symmetries
• Supersymmetric Standard Model from the Heterotic String
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Neutrino mixing from finite modular groups
• Running quark and lepton parameters at various scales
• The Heterotic Road to the MSSM with R parity
• Unification of Flavor, CP, and Modular Symmetries
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• Modular Invariance Faces Precision Neutrino Data
• Modular $A_4$ invariance and neutrino mixing
• CP violation of quarks in $A_4$ modular invariance
• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• Modular $S_4$ Models of Lepton Masses and Mixing
• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• Supersymmetric Standard Model from the Heterotic String (II)
• A String Theory of Flavor and CP
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Double Cover of Modular $S_4$ for Flavour Model Building
• A note on the predictions of models with modular flavor symmetries
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
• Multiple modular symmetries as the origin of flavour
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Eclectic Flavor Groups
• Lessons from eclectic flavor symmetries
• Modular Flavor Symmetry on Magnetized Torus
• Modular $S_3$ invariant flavor model in SU(5) GUT
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Modular symmetry origin of texture zeros and quark lepton unification
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Metaplectic Flavor Symmetries from Magnetized Tori
• Large hierarchies from approximate R symmetries
• Eclectic flavor scheme from ten-dimensional string theory -- I. Basic results
• Low Energy Supersymmetry from the Heterotic Landscape
• Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
• Automorphic Forms and Fermion Masses
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• String-derived MSSM vacua with residual R symmetries
• Classification of symmetric toroidal orbifolds
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Half-integral weight modular forms and application to neutrino mass models
• Seesaw Neutrinos from the Heterotic String
• $SU(5)$ GUTs with $A_4$ modular symmetry
• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• Twin Modular $S_4$ with $SU(5)$ GUT
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• The eclectic flavor symmetry of the ${\mathbb{Z}}_2$ orbifold
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Strengthening the bound on the mass of the lightest neutrino with terrestrial and cosmological experiments
• Fermion masses and mixing in modular A4 Symmetry
• Third Family Corrections to Tri-bimaximal Lepton Mixing and a New Sum Rule
• Modular $S_4\times SU(5)$ GUT
• Approximate R-symmetries and the mu term
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• Non-Abelian discrete R symmetries
• Top-Down Anatomy of Flavor Symmetry Breakdown
• Predictivity of models with spontaneously broken non-Abelian discrete flavor symmetries
• On predictions from spontaneously broken flavor symmetries
• Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism
• Delta(54) flavor phenomenology and strings
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Stable fermion mass matrices and the charged lepton contribution to neutrino mixing

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