Moduli trapping mechanism in modular flavor symmetric models

Abstract

We discuss how the moduli in modular flavor symmetric models dynamically select enhanced symmetry points at which the residual modular symmetry renders extra matter fields massless. The moduli dynamics non-perturbatively produces the extra matter particles, which gives (time-dependent) effective potential that traps the moduli to enhanced symmetry points. We show analytic estimates of particle production rate consistent with numerical results, and the dynamics of moduli based on the analytic estimates.

arXiv comment35 pages, 14 figures

References in corpus (94)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Neutrino Mass and Mixing: from Theory to Experiment
• Finite Modular Groups and Lepton Mixing
• Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points
• Lepton mixing and discrete symmetries
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• Neutrino mixing from finite modular groups
• Unification of Flavor, CP, and Modular Symmetries
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• Modular Invariance Faces Precision Neutrino Data
• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Modular $A_4$ invariance and neutrino mixing
• CP violation of quarks in $A_4$ modular invariance
• Modular $A_5$ Symmetry for Flavour Model Building
• 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
• Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• On the Theory of Fermionic Preheating
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Trapped Inflation
• A String Theory of Flavor and CP
• Double Cover of Modular $S_4$ for Flavour Model Building
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Productive Interactions: heavy particles and non-Gaussianity
• Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• Multiple modular symmetries as the origin of flavour
• A modular $A_4$ symmetric model of dark matter and neutrino
• Modular $S_3$ symmetric radiative seesaw model
• Modular forms of finite modular subgroups from magnetized D-brane models
• Preheating of massive fermions after inflation: analytical results
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• Modular $A_4$ invariance and leptogenesis
• A modular $A_4$ symmetric scotogenic model
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Fermion production during and after axion inflation
• Lessons from eclectic flavor symmetries
• Modular Flavor Symmetry on Magnetized Torus
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• 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
• Type II seesaw models with modular $A_4$ symmetry
• Energy-Momentum Tensor of Particles Created in an Expanding Universe
• Modular Invariant Models of Lepton Masses at Levels 4 and 5
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Landscape of Modular Symmetric Flavor Models
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• $CP$ violation in modular invariant flavor models
• Super-Adiabatic Particle Number in Schwinger and de Sitter Particle Production
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Metaplectic Flavor Symmetries from Magnetized Tori
• Eclectic flavor scheme from ten-dimensional string theory -- II. Detailed technical analysis
• On the Time Dependence of Adiabatic Particle Number
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• A radiative seesaw model with three Higgs doublets in modular $A_4$ symmetry
• Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
• Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Exact WKB analysis of the vacuum pair production by time-dependent electric fields
• Testing Moduli and Flavon Dynamics with Neutrino Oscillations
• Heterotic de Sitter Beyond Modular Symmetry
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• Fermion masses and mixing in modular A4 Symmetry
• Symmetries and stabilisers in modular invariant flavour models
• 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 $\tau =\omega$
• Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization
• Quark and lepton hierarchies from $S_4^{\prime }$ modular flavor symmetry
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group
• Stokes phenomenon and gravitational particle production -- How to evaluate it in practice
• Flavour mixings in flux compactifications
• Quark hierarchical structures in modular symmetric flavor models at level 6
• Modular invariant inflation
• Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models
• Moduli inflation from modular flavor symmetries
• Flavour physics without flavour symmetries
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Resonant particle production during inflation: a full analytical study
• The phenomenology of trapped inflation
• Superadiabatic basis in cosmological particle production: application to preheating

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