Gauge extension of non-Abelian discrete flavor symmetry

Beye, Florian; Kobayashi, Tatsuo; Kuwakino, Shogo

doi:10.48550/arxiv.1502.00789

Cited by 3 publications

(3 citation statements)

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“…In particular, orbifold compactifications of the heterotic string lead to various flavor groups [12,13]. These symmetries originate from gauge symmetries in higher dimensions [14,15], as they should [16]. As it turns out, already the very first 3-generation orbifold model [17] has a ∆(54) flavor symmetry [12], which is according to the classification [1] type I and thus CP-violating.…”

Section: Cp Violation From Stringsmentioning

confidence: 99%

Group–Theoretical Origin of CP Violation

Chen

Ratz

2019

LHEP

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This is a short review of the proposal that CP violation may be due to the fact that certain finite groups do not admit a physical CP transformation. This origin of CP violation is realized in explicit string compactifications exhibiting the Standard Model spectrum. Three types of groupsGiven these tools, one can distinguish between three types of groups [1]:Case I: for all involutory automorphisms u α of the flavor group there is at least one representation r i for which FS u α (r i ) = 0. Such discrete symmetries clash with CP.Case II: there exists an involutory automorphism u for which the FS u 's for all representations are non-zero. Then there are two sub-cases:Case II A: all FS u 's are +1 for one of those u's. In this case, there exists a basis with real Clebsch-Gordan coefficients. The BDA is then the automorphism of the physical CP transformation/ Case II B: some of the FS u 's are −1 for all candidate u's.That means that there exists no BDA, and, as a consequence, one cannot find a basis in which all CG's are real. Nevertheless, any of the u's can be used to define a CP transformation.

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Section: Cp Violation From Stringsmentioning

confidence: 99%

Group–Theoretical Origin of CP Violation

Chen

Ratz

2019

LHEP

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“…Consequently, the six-dimensional SU(3) gauge symmetry is broken by the 3 orbifold according to (cf. [18,19])…”

Section: Non-abelian Residual Symmetriesmentioning

confidence: 99%

Discrete remnants of orbifolding

et al. 2019

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“…On the other hand, despite their success, the origin of flavor symmetries remains unexplained in bottom-up model building. Fortunately, non-Abelian flavor symmetries emerge naturally in different compactification schemes of string theory [53][54][55][56][57][58][59] that enjoy the properties of the SM or its supersymmetric extension(s), yielding a promising ultraviolet completion of flavor phenomenology.…”

Section: Introductionmentioning

confidence: 99%

Δ(54) flavor phenomenology and strings

Carballo-Pérez

Peinado

Ramos‐Sánchez

2016

J. High Energ. Phys.

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∆(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored. We show that in a classification of semi-realistic Z 3 × Z 3 heterotic string orbifolds, ∆(54) turns out to be the most natural flavor symmetry, providing additional motivation for its study. We revisit its phenomenological potential from a low-energy perspective and subject to the constraints of string models. We find a model with ∆(54) arising from heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks and charged-leptons. Additionally, in the neutrino sector, it leads to a normal hierarchy for neutrino masses and a correlation between the reactor and the atmospheric mixing angles, the latter taking values in the second octant and being compatible at three sigmas with experimental data.

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Gauge extension of non-Abelian discrete flavor symmetry

Cited by 3 publications

References 0 publications

Group–Theoretical Origin of CP Violation

Group–Theoretical Origin of CP Violation

Discrete remnants of orbifolding

Δ(54) flavor phenomenology and strings

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