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We study quark and lepton mass matrices with the common modulus $\tau$ in the $A_4$ modular symmetry. The viable quark mass matrices are composed of modular forms of weights $2$, $4$ and $6$. It is remarked that the modulus $\tau$ is close…

高能物理 - 唯象学 · 物理学 2020-05-05 Hiroshi Okada , Morimitsu Tanimoto

We study the implications of having a similarity between quark and lepton mixing in the Dirac sector of the Standard Model plus the right-handed neutrino. This enable us to describe all masses and mixings in the Dirac sector in terms of…

高能物理 - 唯象学 · 物理学 2007-05-23 D. Falcone

In SO(10) models with a vectorial fourth generation of down quarks and leptons, the structure of the neutrino Majorana and Dirac mass matrices generically coincide with those of up- and down-quarks, respectively. Then the small neutrino…

高能物理 - 唯象学 · 物理学 2007-10-12 Sören Wiesenfeldt

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…

高能物理 - 唯象学 · 物理学 2015-02-02 Wolfgang Gregor Hollik , Ulises Jesus Saldana Salazar

Applying the $A_4$ symmetry in the scenario of unimodular second scheme of trimaximal $TM_2$ mixing matrix, where the charged lepton mass matrix is diagonal and the nature of neutrinos are Majorana, we investigate and analyze feasible two…

高能物理 - 唯象学 · 物理学 2022-11-22 N. Razzaghi , S. M. M. Rasouli , P. Parada , P. V. Moniz

An explicit form of charged--lepton mass matrix, predicting $m_\tau = 1776.80$ MeV from the experimental values of $m_e$ and $m_\mu$ (in good agreement with the experimental figure $m_\tau = 1777.05^{+0.29}_{-0.26}$ MeV), is applied to…

高能物理 - 唯象学 · 物理学 2007-05-23 Wojciech Krolikowski

One puzzle of neutrino masses and mixings is that they do not exhibit the kind of strong "hierarchy" that is found for the quarks and charged leptons. Neutrino mass ratios and mixing angles are not small. A possible reason for this is…

高能物理 - 唯象学 · 物理学 2011-05-12 S. M. Barr

An explicit form of charged--lepton mass matrix, predicting $ m_\tau = 1776.80 $~MeV from the experimental values of $ m_e $ and $ m_\mu$ (in good agreement with the experimental figure $ m_\tau = 1777.05^{+0.29}_{-0.26}$ MeV), is applied…

高能物理 - 唯象学 · 物理学 2007-05-23 Wojciech Krolikowski

Recently Babu, Ma and Valle proposed a model of quark and lepton mixing based on $A_4$ symmetry. Within this model the lepton and slepton mixings are intimately related. We perform a numerical study in order to derive the slepton masses and…

高能物理 - 唯象学 · 物理学 2010-04-06 M. Hirsch , J. C. Romao , S. Skadhauge , J. W. F. Valle , A. Villanova del Moral

We study the range of the elements of the neutrino mass matrix m_nu in the charged lepton basis. Neutrino-less double beta decay is sensitive to the ee element of m_nu. We then analyze the phenomenological implications of single texture…

高能物理 - 唯象学 · 物理学 2011-06-24 A. Merle , W. Rodejohann

Recent measurements of the neutrino solar mixing angle and the Cabibbo angle satisfy the empirical relation theta_{sol} + theta_{C} ~ 45^{o}. This relation suggests the existence of a correlation between the mixing matrices of leptons and…

高能物理 - 唯象学 · 物理学 2009-11-11 F. Gonzalez-Canales , A. Mondragon

If three right-handed neutrinos are added to the Standard Model, then, for the three known generations, there are six quarks and six leptons. It is then natural to assume that the symmetry considerations that have been applied to the quark…

高能物理 - 唯象学 · 物理学 2007-05-23 Per Osland , Tai Tsun Wu

In theories with three light neutrinos, a complete list of five zeroth-order textures for lepton mass matrices is found, which naturally yield: m_e = m_mu=0, m_tau \neq 0, Delta m^2_sun = 0, together with theta_{e tau} = 0, theta_{mu tau}…

高能物理 - 唯象学 · 物理学 2009-10-09 Riccardo Barbieri , Lawrence J. Hall , Alessandro Strumia

We present an ansatz for the quark and lepton mass matrices, derivable from SO(10) type GUTs, which accommodates a heavy $(> 92 GeV)$ top quark and permits large mixings in the $\nu_\mu \leftrightarrow \nu_\tau$ sector (as suggested by the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. S. Babu , Q. Shafi

We propose a universal form for quark and lepton mass matrices, which applies in a ``leading order'' approximation where $CP$-violating phases are ignored. Down-quark mass ratios are successfully predicted in our scheme using the measured…

高能物理 - 唯象学 · 物理学 2015-12-09 Zheng-Cheng Gu , John Preskill

We discuss whether quark, charged lepton and neutrino masses and mixing angles may be related by an extended flavour and family symmetry group. We show that current measurements of all fermion masses and mixing angles are consistent with a…

高能物理 - 唯象学 · 物理学 2010-04-05 G. G. Ross , L. Velasco-Sevilla

Following the newly formulated notion of form invariance of the neutrino mass matrix, a complete model of leptons is constructed. It is based on a specific unitary 3 X 3 matrix U in family space, such that U^2 is the simple discrete…

高能物理 - 唯象学 · 物理学 2009-11-10 Ernest Ma , G. Rajasekaran

As an attempt to give an unified description of quark and lepton mass matrices M_f, the following mass matrix form is proposed: the form of the mass matrices are invariant under a cyclic permutation (f_1 \to f_2, f_2 \to f_3, f_3 \to f_1)…

高能物理 - 唯象学 · 物理学 2007-05-23 Yoshio Koide

We discussed neutrino masses and mixings in SUSY SO(10) model where quarks and leptons have Yukawa couplings to at least two 10 and one $\bar{126}$ Higgs scalars. In this model, the Dirac and the right-handed Majorana mass terms are…

高能物理 - 唯象学 · 物理学 2008-11-26 Kin-ya Oda , Eiichi Takasugi , Minoru Tanaka , Masaki Yoshimura

Taking clue from the minimal structure of texture 4-zero hermitian mass matrices, which are very successful in accommodating quark mixing data, we propose a form of texture 2-zero complex symmetric neutrino mass matrix with only one phase…

高能物理 - 唯象学 · 物理学 2025-07-17 Manoj Kumar , Nikhila Awasthi , Monika Randhawa , Manmohan Gupta