An S4 × SU(5) SUSY GUT of flavour in 6d

Anda, Francisco J. de; King, Stephen F.

doi:10.1007/jhep07(2018)057

Cited by 36 publications

(27 citation statements)

References 105 publications

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“…In this paper we propose to "derive" the family symmetry itself from the presence of flat extra dimensions [7]. We use the framework of 6-dimensional theories compactified on a torus [8,9]. This way we obtain a predictive model for fermion masses and mixings in which the family symmetry A 4 emerges naturally as a remnant symmetry after orbifold compactification.…”

Section: Introductionmentioning

confidence: 99%

Flavour and CP predictions from orbifold compactification

2020

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We propose a theory for fermion masses and mixings in which an A4 family symmetry arises naturally from a six-dimensional spacetime after orbifold compactification. The flavour symmetry leads to the successful "golden" quark-lepton unification formula and the possibility of "geometrical" CP violation. The model reproduces oscillation parameters with good precision, giving sharp predictions for the CP violating phases of quarks and leptons, in particular δ +268 • . The effective neutrinoless double-beta decay mass parameter is also sharply predicted as m ββ 2.65

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Section: Introductionmentioning

confidence: 99%

Flavour and CP predictions from orbifold compactification

2020

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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.

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116

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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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“…We have achieved the flavon alignment (30), which is necessary for the CSD3 setup [29]. This is highly predictive for the lepton sector and usually complicated to obtain through a vacuum alignment superpotential [21,29,[43][44][45][46]. However, it is not enough by itself.…”

Section: Example Of a Non-trivial Vev Alignmentmentioning

confidence: 99%

“…However, we did not find a mechanism to fix n = 2, 3 so that we have a highly predictive fermion mass setup as in ref. [21,44,46].…”

Section: Roto-translationsmentioning

confidence: 99%

“…Exactly the same approach can be applied to understanding flavon vacuum alignments. Indeed, a discrete subgroup of the SU(3) fl gauged flavour symmetry may result from the compactification of a 6d theory down to 4d [13,[16][17][18][19][20][21]. The connection of such field theory orbifold GUTs to string orbifolds [22,23], especially the stringy origin of non-Abelian discrete flavour symmetries, has been discussed in ref.…”

Section: Introductionmentioning

confidence: 99%

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Flavon alignments from orbifolding: SU(5) × SU(3) model with 𝕋6/∆(54)

Anda¹,

King²,

Perdomo³

et al. 2019

J. High Energ. Phys.

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We systematically develop the formalism necessary for ensuring that boundary conditions of flavon fields in extra dimensions are consistent with heterotic string theory. Having developed a set of consistency conditions on the boundary conditions, we explore a series of examples of orbifolds in various dimensions to see which ones can satisfy them. In addition we impose the further phenomenological requirements of having non-trivial flavon vacuum alignments and also of having quarks and leptons located appropriately in extra dimensions. The minimal successful case seems to be a 10d theory with a SU(3) fl gauged flavour symmetry, where the sixdimensional torus is compactified on a T 6 /∆(54) orbifold. We construct a realistic SU(5) grand unified theory along these lines, leading to tribimaximal-reactor lepton mixing, which we show to be consistent with current neutrino data.

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An S4 × SU(5) SUSY GUT of flavour in 6d

Cited by 36 publications

References 105 publications

Flavour and CP predictions from orbifold compactification

Flavour and CP predictions from orbifold compactification

Modular A4 symmetry models of neutrinos and charged leptons

Flavon alignments from orbifolding: SU(5) × SU(3) model with 𝕋6/∆(54)

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