Completing the eclectic flavor scheme of the ℤ2 orbifold

Baur, Alexander; Kade, Moritz; Nilles, Hans Peter; Ramos‐Sánchez, Saúl; Vaudrevange, Patrick K.S.

doi:10.1007/jhep06(2021)110

Cited by 19 publications

(15 citation statements)

References 54 publications

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“…It would be interesting to compare our results to the outcome of similar TD constructions, such as the orbifold models of type B-D classified in ref. [7], orbifold constructions endowed with a T 2 /Z 2 sector [48,49], or other TD scenarios that can admit three fermion generations and metaplectic flavor symmetries [42], and also exhibit eclectic features [40]. Moreover, quasi-eclectic models [91] offer another interesting possibility to explore in order to further connect the BU and TD approaches.…”

Section: Jhep09(2022)224mentioning

confidence: 99%

The first string-derived eclectic flavor model with realistic phenomenology

Baur

Nilles²,

Ramos‐Sánchez

et al. 2022

J. High Energ. Phys.

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Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter fields, imposing strict constraints on the structure of the effective potential, which result in controlled corrections. We study the lepton and quark flavor phenomenology of an explicit, potentially realistic example model based on a 𝕋6/ℤ3× ℤ3 orbifold compactification of the heterotic string that gives rise to an Ω(2) eclectic flavor symmetry. We find that the interplay of flavon alignment and the localization of the modulus in the vicinity of a symmetry-enhanced point leads to naturally protected fermion mass hierarchies, favoring normal-ordered neutrino masses arising from a see-saw mechanism. We show that our model can reproduce all observables in the lepton sector with a small number of parameters and deliver predictions for so far undetermined neutrino observables. Furthermore, we extend the fit to quarks and find that Kähler corrections are instrumental in obtaining a successful simultaneous fit to the quark and lepton sectors.

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Section: Jhep09(2022)224mentioning

confidence: 99%

The first string-derived eclectic flavor model with realistic phenomenology

Baur

Nilles²,

Ramos‐Sánchez

et al. 2022

J. High Energ. Phys.

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“…Among the symmetries of these string models, one identifies their discrete flavor symmetries (which technically correspond to the outer automorphisms of the Narain space group associated with the orbifold). The origin and properties of these flavor symmetries have been explored in a series of papers [147][148][149][150][151]. The resulting symmetries lead to the so-called "eclectic" picture, which unifies the traditional flavor symmetries of Section 4 with the modular groups as in Section 5.3.…”

Section: Eclectic Flavor Symmetriesmentioning

confidence: 99%

“…Interestingly, both R and CP (and CP-like) symmetries are linked to modular transformations, arising from SL(2, Z) or even Sp(2g, Z) [151]. (The latter has also been explored in the bottom-up approach [110].)…”

Section: Eclectic Flavor Symmetriesmentioning

confidence: 99%

“…This advantage is partly due to the large number of elements of eclectic flavor symmetries (e.g. the eclectic flavor group of a T 2 /Z 2 heterotic orbifold sector has 4608 elements [151]), but it actually follows from the natural appearance of a traditional flavor subgroup within eclectic symmetries. This feature has been exploited e.g.…”

Section: Eclectic Flavor Symmetriesmentioning

confidence: 99%

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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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“…The Double Covering groups T [23,24] and S 4 [25,26] were also realized in the modular symmetry. Furthermore, phenomenological studies have been developed in many works while theoretical investigations have been also proceeded [78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97].…”

Section: Introductionmentioning

confidence: 99%

Electron EDM arising from modulus τ in the supersymmetric modular invariant flavor models

Tanimoto

Yamamoto

2021

J. High Energ. Phys.

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The electric dipole moment (EDM) of electron is studied in the supersymmetric A4 modular invariant theory of flavors with CP invariance. The CP symmetry of the lepton sector is broken by fixing the modulus τ. Lepton mass matrices are completely consistent with observed lepton masses and mixing angles in our model. In this framework, a fixed τ also causes the CP violation in the soft SUSY breaking terms. The electron EDM arises from the CP non-conserved soft SUSY breaking terms. The experimental upper bound of the electron EDM excludes the SUSY mass scale below 4–6 TeV depending on five cases of the lepton mass matrices. In order to see the effect of CP phase of the modulus τ, we examine the correlation between the electron EDM and the decay rate of the μ → eγ decay, which is also predicted by the soft SUSY breaking terms. The correlations are clearly predicted in contrast to models of the conventional flavor symmetry. The branching ratio is approximately proportional to the square of |de/e|. The SUSY mass scale will be constrained by the future sensitivity of the electron EDM, |de/e| ≃ 10−30 cm. Indeed, it could probe the SUSY mass range of 10–20 TeV in our model. Thus, the electron EDM provides a severe test of the CP violation via the modulus τ in the supersymmetric modular invariant theory of flavors.

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Completing the eclectic flavor scheme of the ℤ2 orbifold

Cited by 19 publications

References 54 publications

The first string-derived eclectic flavor model with realistic phenomenology

The first string-derived eclectic flavor model with realistic phenomenology

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

Electron EDM arising from modulus τ in the supersymmetric modular invariant flavor models

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