arXiv subjects

V. V. Vien

Publications and source records attributed to V. V. Vien.

At least 19 recordsLinked to original sources

arXiv2026

Simple Modular $S_3$ Models for Lepton Masses and Mixing

We perform a systematic study of an economical class of modular $S_3$ lepton-flavor models without enlarging the continuous gauge symmetry or introducing right-handed neutrinos or additional flavon fields. We provide a complete classification of all inequivalent realizations allowed by the $S_3$ singlet--doublet representation structure and the admissible modular-weight assignments. Their phenomenological viability is investigated for both normal ordering (NO) and inverted ordering (IO) using Bayesian model comparison and parameter-correlation analysis based on current neutrino-oscillation data. We identify 18 viable models for NO and 19 for IO, with 14 satisfying the experimental constraints in both orderings. The viable models successfully accommodate current neutrino-oscillation data while yielding nontrivial predictions for leptonic CP violation, Majorana phases, and observables probing the absolute neutrino-mass scale. Among these predictions, the absolute-mass observables provide the clearest separation between the two orderings. At the best-fit points, the predicted ranges of the effective electron-neutrino mass ($m_β$) are completely disjoint between NO and IO, whereas those of the sum of neutrino masses ($\sum_i m_i$) and the effective Majorana mass ($m_{ββ}$) show only partial separation. The IO models generally predict a higher absolute neutrino-mass scale and are consequently more strongly constrained by cosmological observations and more accessible to neutrinoless double-beta-decay searches. Our results show that, despite its economical field content, the modular $S_3$ framework accommodates a diverse set of phenomenologically viable lepton-flavor realizations with experimentally testable predictions.

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arXiv2026

Neutrino mass and mixing, resonant leptogenesis and charged lepton flavor violation in a minimal inverse seesaw model with $S_4$ symmetry

We propose a minimal inverse seesaw model with $S_4$ symmetry for the Majorana neutrinos with only one real ($m_0$)-and two complex ($α, β$) parameters in neutrino sector which gives reasonable predictions for the neutrino oscillation parameters, the observed baryon asymmetry of the Universe and the charged lepton flavor violation. The resulting model reveals a favor for normal neutrino mass ordering, a higher octant of $θ_{23}$ and a lower half-plane of Dirac CP violation phase. The predictions of the model for sum of neutrino masses and the effective Majorana neutrino mass are centered around 58.98 meV and 6.2 meV, respectively. The model also provides the predictions of the baryon asymmetry and charged lepton flavour violation processes which are consistent with the experimental observations.

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arXiv2025

Neutrino phenomenology in a Standard Model extension with $\mathbf{T^\prime\times Z_{10} \times Z_2}$ symmetry

We construct a Standard Model (SM) extension with $T^\prime\times Z_{10} \times Z_2$ symmetry for generating the expected neutrino mass matrix with the relation $(M_ν)_{13}=(M_ν)_{31}=-\frac{1}{2}(M_ν)_{22}$ via the contributions of the Type-I seesaw and Weinberg-type operators. The proposed model possesses viable parameters capable of predicting the neutrino oscillation parameters being in good agreement with recent constraints. Our analysis reveals the predicted regions for the physical quantities, given as follows. The two mass squared splittings are $δm^2\in (69.360, 79.220)\, \mathrm{meV}^2$ and $Δm^2\in (2.484, 2.490)10^3\,\mathrm{meV}^2$ for normal ordering (NO) while $δm^2\in (69.450, 79.160)\, \mathrm{meV}^2$ and $Δm^2\in (-2.464, -2.456)10^3\,\mathrm{meV}^2$ for inverted ordering (IO). The lightest neutrino mass is $m_{\ell}\in (36.720, 36.780)$ meV for NO and $m_{\ell}\in (62.220,\, 62.310)$ meV for IO. The sum of neutrino mass is $\sum m_ν\in (136.700,\, 136.800)$ meV for NO and $\sum m_ν\in (221.400,\, 221.600)$ meV for IO. Two Majorana phases are predicted to be $α\in (6.367, 6.380)^\circ$ and $β\in (6.936, 6.946)^\circ$ for NO while $α\simeq 358.800^\circ$ and $β\simeq 0.600^\circ$ for IO. Finally, the effective neutrino mass is $m_{\mathrm{ee}}\in (36.940, 36.980)$ meV for NO and $m_{\mathrm{ee}}\in (76.290, 76.360)$ meV for IO. Based on these results, the Yukawa-like couplings are estimated, which can naturally explain the charged - lepton as well as neutrino mass hierarchies.

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arXiv2024

Fermion masses and mixings and $g-2$ muon anomaly in a $Q_6$ flavored 2HDM

We propose an extended 2HDM with $Q_6\times Z_4\times Z_2$ symmetry that can successfully accommodate the SM fermion mass and mixing hierarchy. The tiny masses of the active neutrinos are generated from a type-I seesaw mechanism mediated by very heavy right-handed Majorana neutrinos. The model gives a natural explanation of the charged lepton mass hierarchy. Besides that, the experimental values of the physical observables of the neutrino sector: the neutrino mass squared splittings, the leptonic mixing angles and the leptonic Dirac CP violating phase, are also successfully reproduced for both normal and inverted neutrino mass hierarchies. We find a feasible range of values for the leptonic Dirac CP phase to be in the ranges $δ_{CP}\in (305.90, 348.70)^\circ$ for normal ordering and $δ_{CP}\in (308.00, 348.00)^\circ$ for inverted ordering, which is consistent with the 3$σ$ experimentally allowed limits. The sum of neutrino masses is obtained as $\sum m_i \in (58.03, 60.51)$ meV for normal ordering and $\sum m_i\in (98.07, 101.40)$ meV for inverted ordering which are well consistent with all the recent limits. In addition, the obtained ranges for the effective neutrino masses are $\langle m_{ee}\rangle \in (3.80, 4.38)$\, meV, $m_β \in (8.53, 9.34)\, \mbox{meV}$ for normal ordering and $\langle m_{ee}\rangle \in (47.85, 49.58) $ meV, $m_β \in (48.39, 50.09)\, \mbox{meV}$ for inverted ordering which are in agreement with the recent experimental bounds. For the quark sector, the derived results are also in agreement with the recent data on the quark masses and mixing angles. The model under consideration can also accommodate the muon anomalous magnetic moment.

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arXiv2024

Neutrino phenomenology and keV dark matter in 2HDM with $A_4$ symmetry

We propose a minimal extended seesaw scheme based on the discrete symmetry $A_4\times Z_4\times Z_2\times Z_8$ which can successfully address neutrino phenomenology and keV sterile neutrino dark matter. The lepton mass hierarchy is naturally achieved. Active neutrino mixing angles can reached the best-fit points with the predictive Dirac CP violation phase. The active-sterile mixing matrix elements are small enough to access the observed cosmological dark matter abundance constraint with keV sterile neutrino dark matter. The effective neutrino masses are predicted to be in the ranges of the recent experimental limits.

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arXiv2024

$\mathbf{B-L}$ model with $\mathbf{D_4\times Z_4\times Z_2}$ symmetry for fermion mass hierarchies and mixings

We construct a gauge $B-L$ model with $D_4\times Z_4\times Z_2$ symmetry that can explain the quark and lepton mass hierarchies and their mixings with the realistic CP phases via the type-I seesaw mechanism. Six quark mases, three quark mixing angles and CP phase in the quark sector can get the central values and Yukawa couplings in the quark sector are diluted a range of three orders of magnitude difference by the perturbation theory at the first order. For neutrino sector, the smallness of neutrino mass is achieved by the Type-I seesaw mechanism. Both inverted and normal neutrino mass hierarchies are in consistent with the experimental data. The prediction for the sum of neutrino masses for normal and inverted hierarchies, the effective neutrino masses and the Dirac CP phase are well consistent with all the recent limits.

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arXiv2023

Fermion masses and mixings in an extended SM based on A4 flavor symmetry with the linear seesaw for majorana neutrino

We propose a $U(1)_L$ model with $A_4$ symmetry in light of the linear seesaw for majorana neutrino that capable of generating the current lepton and quark mass and mixing patterns. The smallness of Majorana neutrino mass is reproduced through the linear seesaw mechanism. The model can accommodate the current observed patterns of lepton and quark mixing in which the solar neutrino mixing angle and the Dirac CP violating phase are in $2σ$ range for both NO and IO, the Majorana violating phases are predicted to be $η_{1} \in (2.29, 10.31)^\circ$ and $η_{2} \in (57.30, 302.70)^\circ $ for NO while $η_1\in (3.44, 10.31)^\circ$ and $η_{2} \in(79.07, 87.09)^\circ$ for IO. The obtained sum of neutrino mass and the effective Majorana neutrino mass are in good consistent with the recent upper limits. For quark sector, all the quark masses can get the best-fit values and all the elements of the quark mixing matrix are in agreement with the experimental constraints except one element, $(V_{\mathrm{CKM}})_{21}$, with a deviation about $0.25\,\%$ deviation.

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arXiv2023

$A_4$-based model with linear seesaw scheme for lepton mass and mixing

We suggest a low-scale model based on $A_4\times Z_4 \times Z_2$ symmetry and a global lepton number $U(1)_L$ symmetry capable of generating the current neutrino data. The neutrino mass smallness is reproduced by the linear seesaw mechanism. The model can explain the current observed pattern of lepton mixing in which the reactor and atmospheric angles get the best-fit values, and the solar angle and Dirac phase lie within $3σ$ limits. The obtained values of the sum of neutrino mass and the effective neutrino mass are below the present experimental limits.

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arXiv2022

Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism

We propose a $B-L$ model combined with the $S_4\times Z_3\times Z_4$ discrete symmetry which successfully explains the recent $3+1$ sterile - active neutrino data. The smallness of neutrino mass is obtained through the type-I seesaw mechanism. The active-active and sterile-active neutrino mixing angles are predicted to be consistent with the recent constraints in which $0.3401\, (0.3402) \leq \sin^2θ_{12}\leq 0.3415\, (0.3416), \, 0.456\, (0.433) \leq \sin^2θ_{23}\leq 0.544\, (0.545), \, 2.00\, (2.018) \leq 10^2\times \sin^2θ_{13}\leq 2.405\, (2.424),\,\, 156 \, (140.8) \leq δ^{(\circ)}_{CP}\leq 172\, (167.2)$ for normal (inverted) ordering of the three neutrino scenario, and $0.015 \,(0.022) \leq s^2_{14}\leq 0.045 \,(0.029), \, 0.005 (0.0095)\leq s^2_{24}\leq 0.012\, (0.012), \, 0.003 \,(0.009)\leq s^2_{34} \leq 0.011$ for normal (inverted) ordering of the $3+1$ neutrino scenario. Our model predicts flavour conserving leptonic neutral scalar interactions and successfully explains the muon $g-2$ anomaly.

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arXiv2022

Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry

We propose a predictive model based on the $SU(3)_C\times SU(3)_L\times U(1)_X$ gauge symmetry, which is supplemented by the $D_4$ family symmetry and several auxiliary cyclic symmetries whose spontaneous breaking produces the observed SM fermion mass and mixing pattern. The masses of the light active neutrinos are produced by an inverse seesaw mechanism mediated by three right handed Majorana neutrinos. To the best of our knowledge the model corresponds to the first implementation of the $D_4$ family symmetry in a $SU(3)_C\times SU(3)_L\times U(1)_X$ theory with three right handed Majorana neutrinos and inverse seesaw mechanism. Our proposed model successfully accommodates the experimental values of the SM fermion mass and mixing parameters, the muon anomalous magnetic moment as well as the Higgs diphoton decay rate and meson oscillations constraints. The consistency of our model with the muon anomalous magnetic moment requires charged exotic vector like leptons at the TeV scale.

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arXiv2022

$B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing

We construct a multiscalar and nonrenormalizable $B-L$ model with $A_4\times Z_3\times Z_4$ flavor symmetry which successfully explains the recent $3+1$ active-sterile neutrino data. The tiny neutrino mass the mass hierarchy are obtained by the type-I seesaw mechanism. The hierarchy of the lepton masses is satisfied by a factor of $v_H \left(\frac{v_l}Λ\right)^2 \sim 10^{-4}\, \mathrm{GeV}$ of the electron mass compared to the muon and tau masses of the order of $\frac{v_H v_l}Λ \sim 10^{-1}\, \mathrm{GeV}$. The recent $3+1$ active-sterile neutrino mixings are predicted to be $0.015 \leq|U_{e 4}|^2\leq 0.045$, $0.004 \leq|U_{μ4}|^2\leq 0.012$, $0.004 \leq|U_{τ4}|^2\leq 0.014$ for normal hierarchy and $0.020\leq|U_{e 4}|^2\leq 0.045$, $0.008 \leq|U_{μ4}|^2\leq 0.018$, $0.008\leq|U_{τ4}|^2\leq 0.022$ for inverted hierarchy. Sterile neutrino masses are predicted to be $0.7 \lesssim m_s \, (\mathrm{eV}) \lesssim 3.16$ for normal hierarchy and $2.6 \lesssim m_s \, (\mathrm{eV}) \lesssim 7.1$ for inverted hierarchy. For three neutrino scheme the model predicts $0.3401 \leq \sin^2θ_{12}\leq 0.3415, \, 0.460 \leq \sin^2θ_{23}\leq 0.540,\, -0.60 \leq \sinδ_{CP}\leq -0.20$ for normal hierarchy and $0.3402 \leq \sin^2θ_{12}\leq 0.3416,\, 0.434\leq\sin^2θ_{23}\leq 0.610,\, -0.95 \leq \sinδ_{CP}\leq -0.60$ for inverted hierarchy. The effective neutrino masses are predicted to be $35.70 \leq \langle m_{ee}\rangle [\mbox{meV}] \leq 36.50$ in 3+1 scheme and $3.65 \leq \langle m^{(3)}_{ee}\rangle [\mbox{meV}] \leq 4.10$ in three neutrino scheme for NH while $160.0 \leq \langle m_{ee}\rangle [\mbox{meV}] \leq 168.0$ in 3+1 scheme and $47.80 \leq \langle m^{(3)}_{ee}\rangle [\mbox{meV}] \leq 48.70$ in three neutrino scheme for for IH which are all in agreement with the recent experimental data.

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arXiv2022

Comment on "Flavored leptogenesis and neutrino mass with $A_4$ symmetry" [JHEP12(2021)051, arXiv:2106.06773]

Recently, in ref. \cite{A4Datta} Datta et al. [arXiv:2106.06773] proposed an $A_4$ flavor symmetric model supplemented by $Z_2\times Z_3$ symmetry which can accommodate the appropriate lepton mixing and neutrino masses via Type-I seesaw mechanism. They have constructed a minimal model with only one $SU(2)_L$ doublet scalar and six flavons that generate a specific flavor structure, favors the normal hierarchy of light neutrinos and narrows down the range of Dirac CP violating phase. Taking into account the contribution of all invariant terms, under all symmetries, is very important in the model building process, however, in ref. \cite{A4Datta} the authors miss a Majorana mass term which contributes to and changes the structure of the Majorana mass matrix of the right handed neutrinos. In this comment paper, we point out the above issue and provide a solution to fill in the missing term in ref. \cite{A4Datta}.

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arXiv2021

Fermion masses and mixings in a $U(1)_X$ model based on the $Σ(18)$ discrete symmetry

We have built a renormalizable $U(1)_X$ model with a $Σ(18)\times Z_4$ symmetry, whose spontaneous breaking yields the observed SM fermion masses and fermionic mixing parameters. The tiny masses of the light active neutrinos are produced by the type I seesaw mechanism mediated by very heavy right handed Majorana neutrinos. To the best of our knowledge, this model is the first implementation of the $Σ(18)$ flavor symmetry in a renormalizable $U(1)_X$ model. Our model allows a successful fit for the SM fermion masses, fermionic mixing angles and CP phases for both quark and lepton sectors. The obtained values for the physical observables of both quark and lepton sectors are in accordance with the experimental data. We obtain an effective neutrino mass parameter of $\langle m_{ee}\rangle=1.51\times 10^{-3}\, \mathrm{eV}$ for normal ordering and $\langle m_{ee}\rangle =4.88\times 10^{-2} \, \mathrm{eV}$ for inverted ordering which are well consistent with the recent experimental limits on neutrinoless double beta decay.

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arXiv2021

Fermion spectrum and $g-2$ anomalies in a low scale 3-3-1 model

We propose a renormalizable theory based on the $SU(3)_C\times SU(3)_L\times U(1)_X$ gauge symmetry, supplemented by the spontaneously broken $U(1)_{L_g}$ global lepton number symmetry and the $S_3 \times Z_2 $ discrete group, which successfully describes the observed SM fermion mass and mixing hierarchy. In our model the top and exotic quarks get tree level masses, whereas the bottom, charm and strange quarks as well as the tau and muon leptons obtain their masses from a tree level Universal seesaw mechanism thanks to their mixing with charged exotic vector like fermions. The masses for the first generation SM charged fermions are generated from a radiative seesaw mechanism at one loop level. The light active neutrino masses are produced from a loop level radiative seesaw mechanism. Our model successfully accommodates the experimental values for electron and muon anomalous magnetic dipole moments.

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arXiv2020

Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing

A multiscalar and nonrenormalizable $B-L$ extension of the standard model (SM) with $S_4$ symmetry which successfully explains the recent observed neutrino oscillation data is proposed. The tiny neutrino masses and their hierarchies are generated via the type-I seesaw mechanism. The model reproduces the recent experiments of neutrino mixing angles and Dirac CP violating phase in which the atmospheric angle $(θ_{23})$ and the reactor angle $(θ_{13})$ get the best-fit values while the solar angle $(θ_{12})$ and Dirac CP violating phase ($δ$) belong to $3\, \si $ range of the best-fit value for normal hierarchy (NH). For inverted hierarchy (IH), $θ_{13}$ gets the best-fit value and $θ_{23}$ together with $\de $ belongs to $1\, \si $ range while $θ_{12}$ belongs to $3\, \si $ range of the best-fit value. The effective neutrino masses are predicted to be $\langle m_{ee}\rangle=6.81 \,\, \mbox{meV}$ for NH and $\langle m_{ee}\rangle=48.48\,\, \mbox{meV}$ for IH being in good agreement with the most recent experimental data.

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arXiv2019

Comment on the article by D. Borah and B. Karmakar "Linear seesaw for Dirac neutrinos with A4 flavour symmetry", Phys. Lett. B789 (2019) 59-70, arXiv: 1806.10685

D. Borah and B. Karmakar in Phys. Lett. B789 (2019) have proposed an A4 flavoured linear seesaw model to realise light Dirac neutrinos. In this comment article, we show that some neutrino Yukawa interactions were missed in the model, thus implying that a different formula would be needed to determine the effective neutrino mass matrix, with significantly different results. Our result shows that, unlike stated in Phys. Lett. B789 (2019), that the inverted neutrino mass spectrum is not ruled out.

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arXiv2019

Fermion Mass and Mixing in a Low-Scale Seesaw Model based on the S4 Flavor Symmetry

We construct a low-scale seesaw model to generate the masses of active neutrinos based on $S_4$ flavor symmetry supplemented by the $Z_2 \times Z_3 \times Z_4 \times Z_{14}\times U(1)_L$ group, capable of reproducing the low energy Standard model (SM) fermion flavor data. The masses of the SM fermions and the fermionic mixings parameters are generated from a Froggatt-Nielsen mechanism after the spontaneous breaking of the $S_4\times Z_2 \times Z_3 \times Z_4 \times Z_{14}\times U(1)_L$ group. The obtained values for the physical observables of the quark and lepton sectors are in good agreement with the most recent experimental data. The leptonic Dirac CP violating phase $\de _{CP}$ is predicted to be $259.579^\circ$ and the predictions for the absolute neutrino masses in the model can also saturate the recent constraints.

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arXiv2018

Lepton masses and mixings in a $T'$ flavoured 3-3-1 model with type I and II seesaw mechanisms

We propose a renormalizable $T'$ flavor model based on the $SU(3)_C\times SU(3)_L\times U(1)_X\times U(1)_{\mathcal{L}}$ gauge symmetry, consistent with the observed pattern of lepton masses and mixings. The small masses of the light active neutrinos are produced from an interplay of type I and type II seesaw mechanisms, which are induced by three heavy right-handed Majorana neutrinos and three $SU(3)_L$ scalar antisextets, respectively. Our model is only viable for the scenario of normal neutrino mass hierarchy, where the obtained physical observables of the lepton sector are highly consistent with the current neutrino oscillation experimental data. In addition, our model also predicts an effective Majorana neutrino mass parameter of $m_β \sim 1.41541\times 10^{-2}$ eV, a Jarlskog invariant of the order of $J_{CP}\sim -0.032$ and a leptonic Dirac CP violating phase of $\de = 238^\circ$, which is inside the $1σ$ experimentally allowed range.

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