Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models

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

doi:10.48550/arxiv.2202.05425

Cited by 7 publications

(7 citation statements)

References 66 publications

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“…A bit more practically, one may want to have an interpretation, say, of the modular weight k in Equations (5.4) and (5.5), as well as of the origin of the flavor symmetries. Magnetized tori [126], which are dual to certain D-brane models [127], turn out to be an appropriate playground to answer some of these questions [113,[128][129][130][131][132][133][134][135][136][137]. 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: A Snowmass White Paper

Almumin¹,

Chen²,

Cheng³

et al. 2022

Preprint

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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 Grand Unified Theory (GUT), 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 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 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 in the UV completion of the SM.

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Section: Metaplectic Flavor Symmetriesmentioning

confidence: 99%

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Almumin¹,

Chen²,

Cheng³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Higher-dimensional operators in the SM effective field theory are also constrained in the higher-dimensional theory, in particular, the string theory [112]. Non-perturbative effects relevant to neutrino masses are studied in the context of modular symmetry anomaly [113].…”

Section: Introductionmentioning

confidence: 99%

Radiative neutrino masses from modular $A_4$ symmetry and supersymmetry breaking

Otsuka¹,

Okada²

2022

Preprint

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We investigate a modular A 4 invariant two-loop neutrino mass model in a supersymmetric framework, where we introduce new fields as minimum as possible, expecting contributions of superpartners to the neutrino masses. We successfully reproduce the neutrino oscillation data thanks to the superpartner contributions in case of normal hierarchy, and predict several observables such as phases and neutrino masses, concentrating on three specific regions at nearby fixed points of modulus τ = i, ω, i × ∞, where ω ≡ e 2πi/3 . These points are statistically favored in flux compactifications of the string theory. We show several results in each the points by performing global χ 2 analysis, and demonstrate benchmark points with the minimum χ 2 .

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“…Yukawa couplings were studied, and realistic masses and mixing angles were realized [15][16][17][18][19]. Their flavor structure is controlled by the flavor symmetry [20] including the modular flavor symmetry [21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Classifications of Magnetized $T^4$ and $T^4/Z_2$ Orbifold Models

Kikuchi¹,

Kobayashi²,

Nasu³

et al. 2022

Preprint

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We study constructions and classifications of three-generation models based on magnetized T 4 and T 4 /Z 2 orbifold as candidates of the compact space. We focus on chiral fermion zero-mode wave functions in the extra dimensions. Freedoms of constant gauge fields, called Scherk-Schwarz phases are taken into account. Infinite number of three-generation models are yielded, corresponding to the ways in which the magnetic flux can be turned on. We classify them in a systematic manner, clarifying the relationship between different models. The Higgs sector is also studied by analyzing possible assignments of the magnetic flux and Scherk-Schwarz phases, etc. to left-and right-handed fermions.

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Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models

Cited by 7 publications

References 66 publications

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

Radiative neutrino masses from modular $A_4$ symmetry and supersymmetry breaking

Classifications of Magnetized $T^4$ and $T^4/Z_2$ Orbifold Models

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