Trimaximal mixing with a texture zero

Gautam, Raju

doi:10.1103/physrevd.97.055022

Cited by 26 publications

(18 citation statements)

References 76 publications

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“…Recent experimental realization of artificial spin-orbit coupling (SOC) [4][5][6][7][8] which couples the internal states and the orbit motion of the atoms not only offers a platform to simulate the response of charged particles to external electromagnetic field, but also give opportunities to search of novel quantum states [9][10][11][12][13][14][15][16][17][18]. Relevant investigations show that the SOC can lead to many new quantum phases such as plane-wave phase [19], stripe phase [20][21][22], bright soliton [23,24], dark soliton [25], half-quantum vortex configuration [22,26,27], and topological superfluid phase [6], which enrich the phase diagram and physics of BEC system. In particular, the combined effects of SOC and rotation on the BECs are predicted to generate various novel features.…”

Section: Introductionmentioning

confidence: 99%

Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice

Yang

Wang

et al. 2019

Eur. Phys. J. Plus

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We study the ground-state configurations and spin textures of rotating two-component Bose-Einstein condensates (BECs) with Rashba-Dresselhaus spin-orbit coupling (RD-SOC), which are confined in a two-dimensional (2D) optical lattice plus a 2D harmonic trap. In the absence of rotation, a relatively small isotropic 2D RD-SOC leads to the generation of ghost vortices for initially miscible BECs, while it gives rise to the creation of rectangular vortex-antivortex lattices for initially immiscible BECs. As the strength of the 2D RD-SOC enhances, the visible vortices or the 2D vortexantivortex chains are created for the former case, whereas the rectangular vortex-antivortex lattices are transformed into vortex-antivortex rings for the later case. For the initially immiscible BECs with fixed 2D RD-SOC strength, the increase of rotation frequency can result in the structural phase transition from square vortex lattice to irregular triangular vortex lattice and the system transition from initial phase separation to phase mixing. In addition, we analyze the combined effects of 1D RD-SOC and rotation on the vortex configurations of the ground states for the case of initial phase separation. The increase of 1D SOC strength, rotation frequency or both of them may result in the formation of vortex chain and phase mixing. Furthermore, the typical spin textures for both the cases of 2D RD-SOC and 1D RD-SOC are discussed. It is shown that the system favors novel spin textures and skyrmion configurations including an exotic skyrmion-half-skyrmion lattice (skyrmion-meron lattice), a complicated meron lattice, a skyrmion chain, and a Bloch domain wall.

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Section: Introductionmentioning

confidence: 99%

Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice

Yang

Wang

et al. 2019

Eur. Phys. J. Plus

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“…In numerical analysis, we have used Eqn. (22) as our constraining equation to obtain the allowed parameter space of the model i.e. R ν must lie within its 3σ experimental range.…”

Section: Phenomenological Consequences Of the Modelmentioning

confidence: 99%

“…The Yukawa couplings are undetermined in the gauge theories. To understand the origin of neutrino mass and mixing one way is to employ phenomenological approaches such as texture zeros [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], hybrid textures [24][25][26][27][28], scaling [29][30][31][32][33][34][35][36], vanishing minor [37][38][39] etc. irrespective of details of the underlying theory.…”

Section: Introductionmentioning

confidence: 99%

“…The group A 4 [49][50][51][52] being the smallest group having 3-dimensional representation is widely employed as the possible underlying symmetry to understand neutrino masses and mixing with in the paradigm of seesaw mechanism [53][54][55][56][57][58][59][60][61]. It has been successfully employed to have texture zero(s) in the neutrino mass matrix which is found to be very predictive [15,[20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Highly predictive and testable A4 flavor model within type-I and II seesaw framework and associated phenomenology

2019

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We investigate neutrino mass model based on A4 discrete flavor symmetry in type-I+II seesaw framework. The model has imperative predictions for neutrino masses, mixing and CP violation testable in the current and upcoming neutrino oscillation experiments. The important predictions of the model are: normal hierarchy for neutrino masses, a higher octant for atmospheric angle (θ23 > 45 o ) and near-maximal Dirac-type CP phase (δ ≈ π/2 or 3π/2) at 3σ C. L.. These predictions are in consonance with the latest global-fit and results from Super-Kamiokande(SK), NOνA and T2K. Also, one of the important feature of the model is the existence of a lower bound on effective Majorana mass, |Mee| ≥ 0.047eV(at 3σ) which corresponds to the lower part of the degenerate spectrum and is within the sensitivity reach of the neutrinoless double beta decay(0νββ) experiments.

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“…In the light of these advantages, a lot of works have been done and successfully predicted neutrino masses and mixing parameters in terms of a few input parameters, such as the models with the modular Γ 2 ≃ S 3 [15,16] 34,36,37] symmetry. This approach has also been extended to the quark sector [38][39][40][41][42].Assuming that neutrinos are Majorana particles and we work in the flavor basis where the charged lepton mass matrix M ℓ is diagonal, the textures of the Majorana neutrino mass matrix M ν with more than two zeros 1 are not compatible with current experimental results [43] and the predictive power of one-zero textures of M ν is limited [44][45][46][47][48][49][50][51][52][53][54]. In contrast, two-zero textures of M ν put forward in 2002 [55][56][57] are more fascinating since in these cases, the lightest neutrino mass (m 1 for the normal mass order or m 3 for the inverted mass order) and two Majorana phases ρ and σ can be determined by six neutrino oscillation parameters (i.e., ∆m 2 21 , ∆m 2 31 , θ 12 , θ 13 , θ 23 and the Dirac phase δ CP ) [56][57][58][59][60].…”

mentioning

confidence: 99%

A modular A4 symmetry realization of two-zero textures of the Majorana neutrino mass matrix

Zhang

2020

Nuclear Physics B

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We show how to realize two-zero textures of the Majorana neutrino mass matrix M ν based on modular A 4 invariant models without flavons. In these models, all matter fields are assigned to three inequivalent singlets, 1, 1 ′ and 1 ′′ , of the finite modular group Γ 3 ≃ A 4 . Considering tensor products of the A 4 group, it is easy to make the charged lepton mass matrix M ℓ diagonal. Since not all modular forms of a specific weight and level 3 can be arranged into three inequivalent singlets of A 4 simultaneously, we can always make some entries in M ν vanish by properly assigning the representations and modular weights for the matter fields. We consider two cases where neutrino masses originate from the Weinberg operator and the type-I seesaw mechanism, respectively. For the former case, all seven viable two-zero textures of M ν (A 1,2 , B 1,2,3,4 and C) can be realized successfully. For the latter case, only five of them (namely A 1,2 , B 3,4 and C) can be achieved due to the intrinsic structure of the right-handed neutrino mass matrix M R in our assumption for simplicity. * Email: zhangdi@ihep.ac.cn Compelling evidences obtained from solar, atmospheric, reactor and accelerator neutrino experiments in the last two decades [1] have proved the existence of neutrino oscillations [2][3][4], implying that neutrinos have nonzero and nondegenerate masses, and flavor mixing in the lepton sector exists. The standard model (SM) itself tells us nothing about the quantitative details of Yukawa interactions, thus it is rather challenging to explore the underlying flavor structures of charged fermions and massive neutrinos. It calls for new physics beyond the SM to control the Yukawa couplings of quarks and leptons and understand flavor mixing. In view of the fact that a convincing flavor theory is lacking, approaches such as flavor symmetries and texture zeros or their combinations have been widely explored to shed light on the flavor secrets of fermions.The flavor symmetry with a non-Abelian discrete group is a popular approach to explain lepton flavor mixing pattern (see reviews [5][6][7][8] and references therein). Recently, a new and attractive approach with the modular symmetry applied to the lepton flavor problem has been proposed in [9]. In such a modular invariant model, only a few flavons or even no flavons need to be introduced and the Yukawa couplings or the right-handed neutrino mass matrix in the type-I seesaw mechanism [10-14] are regarded as modular forms which are holomorphic functions of the modulus τ and transform non-trivially under the modular symmetry. In the model without flavons, the vacuum expectation value (VEV) of the modulus τ is the only source of symmetry breaking. In the light of these advantages, a lot of works have been done and successfully predicted neutrino masses and mixing parameters in terms of a few input parameters, such as the models with the modular Γ 2 ≃ S 3 [15,16] 34,36,37] symmetry. This approach has also been extended to the quark sector [38][39][40][41][42].Assuming that neutrin...

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Trimaximal mixing with a texture zero

Cited by 26 publications

References 76 publications

Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice

Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice

Highly predictive and testable A4 flavor model within type-I and II seesaw framework and associated phenomenology

A modular A4 symmetry realization of two-zero textures of the Majorana neutrino mass matrix

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