Modular symmetry anomaly and nonperturbative neutrino mass terms in magnetized orbifold models

Kikuchi, Shota; Kobayashi, Tatsuo; Nasu, Kaito; Uchida, Hikaru; Uemura, Shohei

doi:10.1103/physrevd.105.116002

Cited by 10 publications

(3 citation statements)

References 78 publications

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“…Indeed, on general orientifolds, SL(2, Z) may not exist as itself, but some subgroups or generalizations occur. On CY JHEP02(2024)099 orientifolds or toroidal orientifolds with multiple bulk moduli, the generalizations to certain symplectic groups occur and modular flavor symmetry with such symmetries has been studied in [44][45][46][47][48][49][50], for instance. Furthermore, if we choose an orientifold with h 2,1 = 1 i.e., single complex-structure modulus, the superpotential will be a linear function of the modulus (couplings with axio-dilaton also exist).…”

Section: Jhep02(2024)099mentioning

confidence: 99%

Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points

Ishiguro,

Kai,

Kobayashi

et al. 2024

J. High Energ. Phys.

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We study structures of solutions for SUSY Minkowski F-term equations on two toroidal orientifolds with h2,1 = 1. Following our previous study [1], with fixed upper bounds of a flux D3-brane charge Nflux, we obtain a whole Landscape and a distribution of degeneracies of physically-distinct solutions for each case. In contrast to our previous study, we consider a non-factorizable toroidal orientifold and its Landscape on which SL(2, ℤ) is violated into a certain congruence subgroup, as it had been known in past studies. We find that it is not the entire duality group that a complex-structure modulus U enjoys but its outer semi-direct product with a “scaling” outer automorphism group. The fundamental region is enlarged to include the |U| < 1 region. In addition, we find that high degeneracy is observed at an elliptic point, not of SL(2, Z) but of the outer automorphism group. Furthermore, ℤ2-enhanced symmetry is realized on the elliptic point. The outer automorphism group is exceptional in the sense that it is consistent with a symplectic basis transformation of background three-cycles, as opposed to the outer automorphism group of SL(2, ℤ). We also compare this result with Landscape of another factorizable toroidal orientifold.

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Section: Jhep02(2024)099mentioning

confidence: 99%

Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points

Ishiguro,

Kai,

Kobayashi

et al. 2024

J. High Energ. Phys.

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“…A bit more practically, one may want to have an interpretation, say, of the modular weight k in Equations ( 15) and ( 16) as well as of the origin of the flavor symmetries. Magnetized tori [128], which are dual to certain D-brane models [129], turn out to be an appropriate playground to answer some of these questions [115,[130][131][132][133][134][135][136][137][138][139]. In particular, the modular weights k reflect the localization properties of matter fields in the extra dimensions.…”

Section: Metaplectic Flavor Symmetriesmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Almumin,

Chen,

Cheng

et al. 2023

Universe

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The neutrino sector offers one of the most sensitive probes of new physics beyond the Standard Model of Particle Physics (SM). The mechanism of neutrino mass generation is still unknown. The observed suppression of neutrino masses hints at a large scale, conceivably of the order of the scale of a rand unified theory (GUT), which is a unique feature of neutrinos that is not shared by the charged fermions. The origin of neutrino masses and mixing is part of the outstanding puzzle of fermion masses and mixings, which is not explained ab initio in the SM. Flavor model building for both quark and lepton sectors is important in order to gain a better understanding of the origin of the structure of mass hierarchy and flavor mixing, which constitute the dominant fraction of the SM parameters. Recent activities in neutrino flavor model building based on non-Abelian discrete flavor symmetries and modular flavor symmetries have been shown to be a promising direction to explore. The emerging models provide a framework that has a significantly reduced number of undetermined parameters in the flavor sector. In addition, such a framework affords a novel origin of CP violation from group theory due to the intimate connection between physical CP transformation and group theoretical properties of non-Abelian discrete groups. Model building based on non-Abelian discrete flavor symmetries and their modular variants enables the particle physics community to interpret the current and anticipated upcoming data from neutrino experiments. Non-Abelian discrete flavor symmetries and their modular variants can result from compactification of a higher-dimensional theory. Pursuit of flavor model building based on such frameworks thus also provides the connection to possible UV completions: in particular, to string theory. We emphasize the importance of constructing models in which the uncertainties of theoretical predictions are smaller than, or at most compatible with, the error bars of measurements in neutrino experiments. While there exist proof-of-principle versions of bottom-up models in which the theoretical uncertainties are under control, it is remarkable that the key ingredients of such constructions were discovered first in top-down model building. We outline how a successful unification of bottom-up and top-down ideas and techniques may guide us towards a new era of precision flavor model building in which future experimental results can give us crucial insights into the UV completion of the SM.

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“…For example, in Ref [77]. right-handed neutrino masses were computed by D-brane instanton effects, where the modular symmetry is anomalous.…”

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confidence: 99%

Generalized Matter Parities from Finite Modular Symmetries

Kobayashi¹,

Nishimura²,

Otsuka³

et al. 2022

Preprint

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We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from finite modular symmetries Γ N . Since all the couplings in supersymmetric theories of finite modular symmetries Γ N are described by holomorphic modular forms with even modular weights, renormalizable and non-renormalizable operators such as baryon-and/or lepton-number violating operators are severely constrained. From the modular transformation of matter multiplets with modular weight 1/M , we find Z 2M symmetries, including the generalized baryon and lepton parities, R-parity, Z 3 baryon triality and Z 6 proton hexality. Such Z M symmetries are enlarged to Z M Z CP 2 symmetries together with the CP transformation.

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Modular symmetry anomaly and nonperturbative neutrino mass terms in magnetized orbifold models

Cited by 10 publications

References 78 publications

Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points

Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation

Generalized Matter Parities from Finite Modular Symmetries

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