Double cover of modular \(S_4\) for flavour model building

DOI10.1016/j.nuclphysb.2020.115301OpenAlexW3033302912MaRDI QIDQ2231894

J. T. Penedo, P. P. Novichkov, Serguey T. Petcov

Publication date: 30 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03058

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Weak interaction in quantum theory (81V15) Holomorphic modular forms of integral weight (11F11) Constrained dynamics, Dirac's theory of constraints (70H45) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) General theory for finite permutation groups (20B05)

Related Items (21)

A linear seesaw model with A ₄-modular flavor and local U(1) _B-L symmetries ⋮ \(A_4\) modular flavour model of quark mass hierarchies close to the fixed point \(\tau = i\infty\) ⋮ Quarks at the modular \(S_4\) cusp ⋮ Moduli trapping mechanism in modular flavor symmetric models ⋮ Fermion hierarchies in SU(5) grand unification from \(\Gamma_6^\prime\) modular flavor symmetry ⋮ A simplest modular \(S_3\) model for leptons ⋮ Quark mass hierarchies and CP violation in \(A_4 \times A_4 \times A_4\) modular symmetric flavor models ⋮ Matter matters in moduli fixing and modular flavor symmetries ⋮ Residual flavor symmetry breaking in the landscape of modular flavor models ⋮ The first string-derived eclectic flavor model with realistic phenomenology ⋮ Moduli inflation from modular flavor symmetries ⋮ Quark and lepton hierarchies from \(S_4^\prime\) modular flavor symmetry ⋮ Texture-zero patterns of lepton mass matrices from modular symmetry ⋮ Modular flavour symmetry and orbifolds ⋮ Modular binary octahedral symmetry for flavor structure of standard model ⋮ A minimal modular invariant neutrino model ⋮ Dirac neutrino mass models with a modular \(S_4\) symmetry ⋮ Quasi-eclectic modular flavor symmetries ⋮ SO(10) models with \(A_4\) modular symmetry ⋮ Modular flavor symmetry and vector-valued modular forms ⋮ Modular flavour symmetries and modulus stabilisation

Uses Software

• GAP
• SmallGrp

Cites Work

• CP and discrete flavour symmetries
• Finite modular groups and lepton mixing
• Lessons from eclectic flavor symmetries
• Lepton flavor mixing and CP violation in the minimal type-(I+II) seesaw model with a modular \(A_4\) symmetry
• CP violation from finite groups
• Lepton masses and mixing from modular \(S_{4}\) symmetry
• CP violation of quarks in \(A_{4}\) modular invariance
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• A string theory of flavor and \(\mathcal{CP}\)
• A modular \(A_4\) symmetric scotogenic model
• A note on the predictions of models with modular flavor symmetries
• A modular \(A_4\) symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• A two loop induced neutrino mass model with modular \(A_4\) symmetry
• An inverse seesaw model with \(A_4\)-modular symmetry
• Trimaximal neutrino mixing from modular \(A_4\) invariance with residual symmetries
• Unification of flavor, \(\mathcal{CP}\), and modular symmetries
• A modular \(A_4\) symmetric model of dark matter and neutrino
• Theta vocabulary. I
• Non-Abelian Discrete Symmetries in Particle Physics
• Automorphisms of the Unimodular Group
• Geometry of continued fractions

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