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We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group $\Gamma_4…

High Energy Physics - Phenomenology · Physics 2019-05-01 P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov

The electroweak unification group $G\equiv SU(2)_L\times U(1)_e\times U(1)_\mu\times U(1)_\tau$ in which each fermion multiplet has its own $U(1)$ factor was proposed in 1986 to get the neutrino mass matrix. In this paper, the gauge group G…

High Energy Physics - Phenomenology · Physics 2019-06-26 Fayyazuddin

We consider the see-saw mechanism for hierarchical Dirac and Majorana neutrino mass matrices m_D and M_R, including the CP violating phases. Simple arguments about the structure of the neutrino mass matrix and the requirement of successful…

High Energy Physics - Phenomenology · Physics 2011-07-19 Werner Rodejohann

Using the family symmetry, in the neutrino mass matrix we remove the Yukawa coupling (arising in the Dirac type mass between the heavy neutrinos and light lepton doublets) dependence in the double seesaw mechanism so that it is directly…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jihn E. Kim , Jong-Chul Park

The three active light neutrinos are used to explain the neutrino oscillations. The inherently bi-large mixing neutrino mass matrix and the Fritzsch type, bi-small mixing charged lepton mass matrix are assumed. By requiring the maximal…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chun Liu , Jeonghyeon Song

We consider lepton mixing in an extension of the Standard Model with three right-handed neutrino singlets. We require that the three lepton numbers L_e, L_\mu, and L_\tau be separately conserved in the Yukawa couplings, and we assume that…

High Energy Physics - Phenomenology · Physics 2010-02-03 W. Grimus , L. Lavoura

We propose new lepton-mixing textures that may be enforced through well-defined symmetries in renormalizable models. Each of our textures has four sum rules for the neutrino mass observables. The models are based on the type-I seesaw…

High Energy Physics - Phenomenology · Physics 2019-09-04 D. Jurciukonis , L. Lavoura

It is pointed out that if a neutrino mass matrix for right-handed neutrinos in seesaw mechanism has mu -tau symmetry and total lepton number L_{e}+L_{\mu }+L_{\tau} remains constant (not zero), exact tribimaximal neutrino mixing in this…

High Energy Physics - Phenomenology · Physics 2008-09-23 Riazuddin

We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The…

High Energy Physics - Phenomenology · Physics 2023-02-08 Gui-Jun Ding , Xiang-Gan Liu , Chang-Yuan Yao

Residual symmetry $G_\nu$ of neutrino mass matrix with a massless neutrino and embedding of $G_\nu$ and the residual symmetry $G_l$ of the charged lepton mass matrix into finite discrete groups $G$ is discussed. Massless neutrino results if…

High Energy Physics - Phenomenology · Physics 2014-01-22 Anjan S. Joshipura , Ketan M. Patel

In the minimal 3-3-1 model charged leptons come in a non-diagonal basis. Moreover the Yukawa interactions of the model lead to a non-hermitian charged lepton mass matrix. In other words, the minimal 3-3-1 model presents a very complex…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gusso , C. A. de S. Pires , P. S. Rodrigues da Silva

We suggest an approach to explain the observed pattern of the neutrino masses and mixing which employs the weakly broken quark-lepton symmetry and does not require introduction of an ad hoc symmetry of the neutrino sector. The mass matrices…

High Energy Physics - Phenomenology · Physics 2009-11-10 I. Dorsner , A. Yu. Smirnov

We perform a detailed study of lepton mixing patterns arising from a scenario with three Majorana neutrinos in which a discrete flavor group Gf=Delta (3 n^2) or Gf=Delta(6 n^2) and a CP symmetry are broken to residual symmetries Ge=Z3 and…

High Energy Physics - Phenomenology · Physics 2015-05-20 C. Hagedorn , A. Meroni , E. Molinaro

We consider the most general supersymmetric model with minimal particle content and an additional discrete Z_3 symmetry (instead of R-parity), which allows lepton number violating terms and results in non-zero Majorana neutrino masses. We…

High Energy Physics - Phenomenology · Physics 2009-11-11 Athanasios Dedes , Steven Rimmer , Janusz Rosiek

We discuss a neutrino mass matrix $\mathcal{M}_\nu$ originally found by Babu, Ma, and Valle (BMV) and show that this mass matrix can be characterized by a simple algebraic relation. From this relation it follows that atmospheric neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. Grimus , L. Lavoura

In SU(3)_L x U(1)_N gauge models for electroweak interactions, we discuss how to implement a radiative mechanism of generating Majorana neutrino masses by considering the property that the Higgs scalar, which has a coupling to a charged…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yutaka Okamoto , Masaki Yasue

The charged fermion masses of the three generations exhibit the two strong hierarchies m_3 >> m_2 >> m_1. We assume that also neutrino masses satisfy m_{nu 3} > m_{nu 2} > m_{nu 1} and derive the consequences of the hierarchical spectra on…

High Energy Physics - Phenomenology · Physics 2015-02-02 Wolfgang Gregor Hollik , Ulises Jesus Saldana Salazar

We show that both small mixing in the quark sector and large mixing in the lepton sector can be obtained from a simple assumption of universality of Yukawa couplings and the right-handed neutrino Majorana mass matrix in leading order. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Radovan Dermisek

A model for neutrino masses and mixing is devised appointing the see-saw mechanism. The proffered model is fabricated with a combination of Type -I and Type-II see-saw contributions of which the latter dominates. The scalars and the leptons…

High Energy Physics - Phenomenology · Physics 2018-10-24 Soumita Pramanick

We construct phenomenologically viable models of lepton masses and mixing based on modular $A_4$ invariance broken to residual symmetries $\mathbb{Z}^{T}_3$ or $\mathbb{Z}^{ST}_3$ and $\mathbb{Z}^S_2$ respectively in the charged lepton and…

High Energy Physics - Phenomenology · Physics 2019-05-22 P. P. Novichkov , S. T. Petcov , M. Tanimoto