Spontaneous breaking of gauge groups to discrete symmetries

Rachlin, Bradley L.; Kephart, Thomas W.

doi:10.1007/jhep08(2017)110

Cited by 17 publications

(17 citation statements)

References 70 publications

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“…Despite the measurement of a non-zero reactor angle, it remains an intriguing possibility that the large mixing angles in the lepton sector can be explained using some discrete non-Abelian family symmetry [1,2]. The origin of such a symmetry could either be a continuous non-Abelian gauge symmetry, broken to a discrete subgroup [3][4][5][6][7][8][9], or it could emerge from extra dimensions [10][11][12][13][14][15][16][17][18][19][20][21], either as an accidental symmetry of the orbifold fixed points, or as a subgroup of the symmetry of the extra dimensional lattice vectors, commonly referred to as modular symmetry [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Modular A4 symmetry models of neutrinos and charged leptons

Ding

King

Liu

2019

J. High Energ. Phys.

122

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We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A 4 modular symmetry, where the only flavon field is the single modulus field τ , and all masses and Yukawa couplings are modular forms. Similar to previous analyses, we discuss all the simplest neutrino sectors arising from both the Weinberg operator and the type I seesaw mechanism, with lepton doublets and right-handed neutrinos assumed to be triplets of A 4 . Unlike previous analyses, we allow right-handed charged leptons to transform as all combinations of 1, 1 and 1 representations of A 4 , using the simplest different modular weights to break the degeneracy, leading to ten different charged lepton Yukawa matrices, instead of the usual one. This implies ten different Weinberg models and thirty different type I seesaw models, which we analyse in detail. We find that fourteen models for both NO and IO neutrino mass ordering can accommodate the data, as compared to one in previous analyses, providing many new possibilities. *

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Section: Introductionmentioning

confidence: 99%

Modular A4 symmetry models of neutrinos and charged leptons

Ding

King

Liu

2019

J. High Energ. Phys.

122

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“…In this case, the discrete symmetry cannot be imposed directly, as it is in conflict with gauge invariance. However, it might be available as the remaining symmetry of a larger, spontaneously broken gauge group, see, e.g., [105]. In summary, in constructing QFTs, one a priori has a large amount of freedom in choosing the fundamental symmetries.…”

Section: Discussionmentioning

confidence: 99%

Constraints on discrete global symmetries in quantum gravity

Ali

Eichhorn

Pauly

et al. 2021

J. High Energ. Phys.

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The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the form ℤn, n > 4, cannot be realized in a near-perturbative regime. In contrast, an effective-field-theory approach to quantum gravity might feature such symmetries, providing a mechanism to generate mass hierarchies in the infrared without the need for additional fine-tuning.

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“…It is a suggestive pattern: matching the representations of the gauge group to those of the discrete group. The mother symmetry could be E 6 × G f , where G f is a continuous group that contains T 13 [43].…”

Section: Theoretical Musingsmentioning

confidence: 99%

Tribimaximal mixing in the SU(5)×T13 texture

et al. 2020

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We extend the recently proposed SU (5) × T 13 model for the asymmetric texture to the up-type quark and Seesaw sectors. The hierarchical up-type quark masses are generated from higher-dimensional operators involving family-singlet Higgses, gauge-singlet familons, and vector-like messengers. The complex-Tribimaximal (TBM) Seesaw mixing arises from the vacuum structure of a minimal number of familons, resulting in an alignment between the Yukawa and Majorana matrices of the Seesaw formula. Introducing four right-handed neutrinos, normal ordering of the light neutrino masses is obtained, with m ν1 = 27.6 meV, m ν2 = 28.9 meV and m ν3 = 57.8 meV. Their sum almost saturates Planck's cosmological upper bound (120 meV). The right-handed neutrino masses are expressed in terms of two parameters for a particular choice of familon vacuum alignment. We predict the¨CP Jarlskog-Greenberg invariant to be |J | = 0.028, consistent with the current PDG estimate, and Majorana invariants |I 1 | = 0.106 and |I 2 | = 0.011. A sign ambiguity in the model parameters leads to two possibilities for the invariant mass parameter |m ββ |: 13.02 meV or 25.21 meV, both within an order of magnitude of the most rigorous experimental upper limit (61-165 meV). *

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Spontaneous breaking of gauge groups to discrete symmetries

Cited by 17 publications

References 70 publications

Modular A4 symmetry models of neutrinos and charged leptons

Modular A4 symmetry models of neutrinos and charged leptons

Constraints on discrete global symmetries in quantum gravity

Tribimaximal mixing in the SU(5)×T13 texture

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