Modular symmetry and zeros in magnetic compactifications

Tatsuta, Yoshiyuki

doi:10.1007/jhep10(2021)054

Cited by 6 publications

(3 citation statements)

References 59 publications

(91 reference statements)

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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.

show abstract

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

View full text Add to dashboard Cite

show abstract

“…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.

show abstract

“…Similar to twisted modes and their Yukawa couplings, zero-modes and their Yukawa couplings in magnetized D-brane models have non-trivial behavior under the modular symmetry[59][60][61][62][63][64][65][66].…”

mentioning

confidence: 99%

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

Ishiguro

Kobayashi

Otsuka

2022

J. High Energ. Phys.

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We examine a common origin of four-dimensional flavor, CP, and U(1)R symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U(1)R symmetries are unified into the Sp(2h + 2, ℂ) modular symmetries of Calabi-Yau threefolds with h being the number of moduli fields. Together with the $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP CP symmetry, they are enhanced to GSp(2h + 2, ℂ) ≃ Sp(2h + 2, ℂ) ⋊ $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP generalized symplectic modular symmetry. We exemplify the S3, S4, T′, S9 non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and ℤ2, S4 flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau three-folds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.

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Modular symmetry and zeros in magnetic compactifications

Cited by 6 publications

References 59 publications

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

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

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

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

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