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Trimaximal TM₁ mixing with two modular S₄ groups
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Trimaximal TM₁ mixing with two modular S₄ groups
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We discuss a minimal flavour model with twin modular symmetries, leading to trimaximal TM$_1$ lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular $S_4$ groups, one acting in the neutrino sector, associated with a modulus field value $\tau_{SU}$ with residual $Z^{SU}_2$ symmetry, and one acting in the charged lepton sector, associated with a modulus field value $\tau_{T}$ with residual $Z^{T}_3$ symmetry. Apart from the predictions of TM$_1$ mixing, the model leads to a new neutrino mass sum rule which implies lower bounds on neutrino masses close to current limits from neutrinoless double beta decay experiments and cosmology.
Forward citations
Cited by 7 Pith papers
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Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw
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Two-loop neutrino mass model with modular $S_4$ symmetry
A two-loop neutrino mass model with modular S4 and Z3 symmetries reproduces charged lepton masses and normal-ordering neutrino data while predicting observable LFV and viable DM candidates.
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A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.
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A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures
A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.
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Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing
TM1,2 mixing phases φ1,2 equal specific rephasing-invariant phase combinations of the PMNS matrix and satisfy exact sum rules with the Dirac phase δ.
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Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing
CP phases φ1,2 in TM1,2 mixing equal rephasing invariants φ1 = -arg[U_e2 U_e3 U_μ1 U_τ1 / U_e1 det U] and φi = δ - arg[U_μi^0 U_τi^0].
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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