More Like this

1. Universal predictions of Siegel modular invariant theories near the fixed points

   https://doi.org/10.1007/JHEP05(2024)052  

   Ding, Gui-Jun; Feruglio, Ferruccio; Liu, Xiang-Gan (May 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> We analyze a general class of locally supersymmetric, CP and modular invariant models of lepton masses depending on two complex moduli taking values in the vicinity of a fixed point, where the theory enjoys a residual symmetry under a finite group. Like in models that depend on a single modulus, we find that all physical quantities exhibit a universal scaling with the distance from the fixed point. There is no dependence on the level of the construction, the weights of matter multiplets and their representations, with the only restriction that electroweak lepton doublets transform as irreducible triplets of the finite modular group. Also the form of the kinetic terms, which here are assumed to be neither minimal nor flavor blind, is irrelevant to the outcome. The result is remarkably simple and the whole class of examined theories gives rise to five independent patterns of neutrino mass matrices. Only in one of them, the predicted scaling agrees with the observed neutrino mass ratios and lepton mixing angles, exactly as in single modulus theories living close toτ=i. 

   more » « less
2. Neutrino mass and mixing models with eclectic flavor symmetry ∆(27) ⋊ T′

   https://doi.org/10.1007/JHEP05(2023)144  

   Ding, Gui-Jun; King, Stephen F.; Li, Cai-Chang; Liu, Xiang-Gan; Lu, Jun-Nan (May 2023, Journal of High Energy Physics)

   A bstract The Kähler potentials of modular symmetry models receive unsuppressed contributions which may be controlled by a flavor symmetry, where the combination of the two symmetry types is referred to as eclectic flavor symmetry. After briefly reviewing the consistency conditions of eclectic flavor symmetry models, including those with generalised (g)CP, we perform a comprehensive bottom-up study of eclectic flavor symmetry models based on Ω(1) ≅ ∆(27) ⋊ T ′, consisting of the flavor symmetry ∆(27) in a semi-direct product with the modular symmetry T ′. The modular transformations of different ∆(27) multiplets are given by solving the consistency condition. The eight nontrivial singlets of ∆(27) are related by T ′ modular symmetry, and they have to be present or absent simultaneously in any Ω(1) model. The most general forms of the superpotential and Kähler potential invariant under Ω(1) are discussed, and the corresponding fermion mass matrices are presented. Based on the eclectic flavor group Ω(1), two concrete lepton models which can successfully describe the experimental data of lepton masses and mixing parameters are constructed. For the two models without gCP, all six mixing parameters vary in small regions. A nearly maximal atmospheric mixing angle θ 23 and Dirac CP phase δ CP are obtained in the first model. After considering the compatible gCP symmetry and the assumption of $$ \mathfrak{R}\tau $$ R τ = 0 in the first model, the μ − τ reflection symmetry is preserved in the charged lepton diagonal basis. As a consequence, the atmospheric mixing angle and Dirac CP phase are predicted to be maximal, and two Majorana CP phases are predicted to be π . 

   more » « less
3. Modular binary octahedral symmetry for flavor structure of Standard Model

   https://doi.org/10.1007/JHEP11(2023)083  

   Ding, Gui-Jun; Liu, Xiang-Gan; Lu, Jun-Nan; Weng, Ming-Hua (November 2023, Journal of High Energy Physics)

   A<sc>bstract</sc> We have investigated the modular binary octahedral group 2Oas a flavor symmetry to explain the structure of Standard Model. The vector-valued modular forms in all irreducible representations of this group are constructed. We have classified all possible fermion mass models based on the modular binary octahedral group 2O. A comprehensive numerical analysis is performed, and we present some benchmark quark/lepton mass models in good agreement with the experimental data. Notably we find a minimal modular invariant model for leptons and quarks, which is able to explain simultaneously the masses and mixing parameters of both quarks and leptons in terms of 14 real free parameters including the modulusτ. The fermion mass hierarchies around the vicinity of the modular fixed points are explored. 

   more » « less
4. Lepto-axiogenesis

   https://doi.org/10.1007/JHEP03(2021)017  

   Co, Raymond T.; Fernandez, Nicolas; Ghalsasi, Akshay; Hall, Lawrence J.; Harigaya, Keisuke (March 2021, Journal of High Energy Physics)

   A bstract We propose a baryogenenesis mechanism that uses a rotating condensate of a Peccei-Quinn (PQ) symmetry breaking field and the dimension-five operator that gives Majorana neutrino masses. The rotation induces charge asymmetries for the Higgs boson and for lepton chirality through sphaleron processes and Yukawa interactions. The dimension-five interaction transfers these asymmetries to the lepton asymmetry, which in turn is transferred into the baryon asymmetry through the electroweak sphaleron process. QCD axion dark matter can be simultaneously produced by dynamics of the same PQ field via kinetic misalignment or parametric resonance, favoring an axion decay constant f a ≲ 10 10 GeV, or by conventional misalignment and contributions from strings and domain walls with f a ∼ 10 11 GeV. The size of the baryon asymmetry is tied to the mass of the PQ field. In simple supersymmetric theories, it is independent of UV parameters and predicts the supersymmtry breaking mass scale to be $$ \mathcal{O} $$ O (10 − 10 4 ) TeV, depending on the masses of the neutrinos and whether the condensate is thermalized during a radiation or matter dominated era. The high supersymmetry breaking mass scale may be free from cosmological and flavor/CP problems. We also construct a theory where TeV scale supersymmetry is possible. Parametric resonance may give warm axions, and the radial component of the PQ field may give signals in rare kaon decays from mixing with the Higgs and in dark radiation. 

   more » « less
5. Quark and lepton modular models from the binary dihedral flavor symmetry

   https://doi.org/10.1007/JHEP05(2024)119  

   Arriaga-Osante, Carlos; Liu, Xiang-Gan; Ramos-Sánchez, Saúl (May 2024, Journal of High Energy Physics)

   A<sc>bstract</sc> Inspired by the structure of top-down derived models endowed with modular flavor symmetries, we investigate the yet phenomenologically unexplored binary dihedral group 2D₃. After building the vector-valued modular forms in the representations of 2D₃with small modular weights, we systematically classify all (Dirac and Majorana) mass textures of fermions with fractional modular weights and all possible 2 + 1-family structures. This allows us to explore the parameter space of fermion models based on 2D₃, aiming at a description of both quarks and leptons with a minimal number of parameters and best compatibility with observed data. We consider the separate possibilities of neutrino masses generated by either a type-I seesaw mechanism or the Weinberg operator. We identify a model that, besides fitting all known flavor observables, delivers predictions for six not-yet measured parameters and favors normal-ordered neutrino masses generated by the Weinberg operator. It would be interesting to figure out whether it is possible to embed our model within a top-down scheme, such as$${\mathbb{T}}^{2}/{\mathbb{Z}}_{4}$$heterotic orbifold compactifications. 

   more » « less