A two loop induced neutrino mass model with modular $A_4$ symmetry

Nomura, Takaaki; Okada, Hiroshi

doi:10.48550/arxiv.1906.03927

Cited by 29 publications

(43 citation statements)

References 31 publications

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“…We will see M D /M L << 1 is demanded by LFVs in the subsection III B. δµ 22(33) << M L would be rather natural, since µ 22(33) is induced at one-loop level while M L is bare mass.…”

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confidence: 88%

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An inverse seesaw model with $U(1)_R$ gauge symmetry

Nomura

Okada

2018

LHEP

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We discuss an inverse seesaw model based on right-handed fermion specific U (1) gauge symmetry and A 4 -modular symmetry. These symmetries forbid unnecessary terms and restrict structures of Yukawa interactions which are relevant to inverse seesaw mechanism. Then we can obtain some predictions in neutrino sector such as Dirac-CP phase and sum of neutrino mass, which are shown by our numerical analysis. Besides the relation among masses of heavy pseudo-Dirac neutrino can be obtained since it is also restricted by the modular symmetry. We also discuss implications to lepton flavor violation and collider physics in our model. * Electronic address: nomura@kias.re.kr † Electronic address: hiroshi.okada@apctp.org ‡ Electronic address: sudhanwa@iitbhilai.ac.in

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“…We will see M D /M L << 1 is demanded by LFVs in the subsection III B. δµ 22(33) << M L would be rather natural, since µ 22(33) is induced at one-loop level while M L is bare mass.…”

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confidence: 88%

“…Since our model has the following hierarchies δµ 22 (33) , M D << M L , 4 the inverse seesaw mass matrix can be block diagonalized by unitary matrix U ν to obtain the mass matrix of the light (active) neutrinos and heavy neutrinos as…”

Section: Neutrino Mass and Lepton Flavor Violationmentioning

confidence: 99%

An inverse seesaw model with $U(1)_R$ gauge symmetry

Nomura

Okada

2018

LHEP

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“…which makes almost elements of Yukawa matrices vanish. For example, in the model "4-4-8, (e,e,e), 5 H.", only three combinations of indices, (i, j, k) = (0, 0, 0), (1, 1, 2), (2, 2, 4), (55) can satisfy the nonzero elements condition in Eq. ( 54), and Yukawa matrices are restricted to the following four structures,…”

Section: T -Invariancementioning

confidence: 99%

Yukawa textures in modular symmetric vacuum of magnetized orbifold models

Kikuchi,

Kobayashi,

Ogawa

et al. 2021

Preprint

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We study quark mass matrices derived from magnetized T 2 /Z 2 orbifold models. Yukawa matrices at three modular fixed points, τ = i, e 2πi/3 and i∞ are invariant under S, ST and T -transformations. We study these invariances on T 2 /Z 2 twisted orbifold. We find that Yukawa matrices have a kind of texture structures although ones at τ = i∞ are not realistic. We classify Yukawa textures at τ = i and e 2πi/3 . Moreover we investigate the conditions such that quark mass matrix constructed by Yukawa textures becomes approximately rank one matrix, which is favorable to lead to hierarchical masses between the third generation and the others. It is found that realistic quark mass matrices can be obtained around the S-invariant vacuum and ST -invariant vacuum. As an illustrating example, we show the realization of the quark mass ratios and mixing based on Fritzch and Fritzch-Xing mass matrices.

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“…If k is an even number [1], they may be organised into modular multiplets of the inhomogeneous finite modular group Γ N ≡ Γ/Γ(N ). Realistic models have been constructed based on Γ N for the levels N = 2 [8][9][10][11], N = 3 [1,8,9,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][30][31][32][33][34][35][36][37], N = 4 [38][39][40][41][42][43], [25,[44][45][46], N = 5 [42,47,48] and N = 7 [49]. The modular invariance approach may also be extended to incorporate several factorizable...…”

Section: Introductionmentioning

confidence: 99%

Flipped SU(5) with modular $A_4$ symmetry

Charalampous,

King,

Leontaris

et al. 2021

Preprint

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We study Flipped SU (5) × U (1) Grand Unified Theories (GUTs) with Γ 3 A 4 modular symmetry. We propose two models with different modular weights assignments, where the fermion mass hierarchy can arise from weighton fields. In order to relax the constraint on the Dirac neutrino Yukawa matrix we appeal to mechanisms which allow incomplete GUT representations, allowing a good fit to quark and charged lepton masses and quark mixing for a single modulus field τ , with the neutrino masses and lepton mixing well determined by the type I seesaw mechanism, at the expense of some tuning. We also discuss the double seesaw possibility allowed by the extra singlets generically predicted in such string inspired theories.

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A two loop induced neutrino mass model with modular $A_4$ symmetry

Cited by 29 publications

References 31 publications

An inverse seesaw model with $U(1)_R$ gauge symmetry

An inverse seesaw model with $U(1)_R$ gauge symmetry

Yukawa textures in modular symmetric vacuum of magnetized orbifold models

Flipped SU(5) with modular $A_4$ symmetry

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