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We study quark and lepton mass matrices in the $A_4$ modular symmetry towards the unification of the quark and lepton flavors. We adopt modular forms of weights $2$ and $6$ for quarks and charged leptons, while we use modular forms of…

High Energy Physics - Phenomenology · Physics 2021-07-27 Hiroshi Okada , Morimitsu Tanimoto

In the presence of independent generations of leptons, I show that the same type of ambiguity in the mass spectrum arises as was discussed in ref.[1] for neutral kaons. It results from the freedom to add to their Majorana mass matrix,…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Machet

On the basis of a seesaw-type mass matrix model for quarks and leptons, $M_f \simeq m_L M_F^{-1} m_R$, where $m_L\propto m_R$ are universal for $f=u,d,\nu$ and $e$ (up-quark-, down-quark-, neutrino- and charged lepton-sectors), and $M_F$…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yoshio Koide

The universality hypothesis for quark and lepton mixing matrices (CKM and MNS) is further developed. This hypothesis explains why the CKM is almost diagonal whereas the MNS is almost maximally mixed. If this hypothesis is true, the Dirac CP…

High Energy Physics - Phenomenology · Physics 2014-06-19 Takeshi Fukuyama , Hiroyuki Nishiura

Generally the diagonalization of the mass matrix of the charged leptons is a part of the neutrino UPMNS matrix. However, usually this contribution is ignored by assuming a diagonal mass matrix for charged leptons. In this letter we test…

High Energy Physics - Phenomenology · Physics 2015-06-03 Giovanna Cottin , Marco Aurelio Diaz , Benjamin Koch

We construct a model that allows us to determine the three neutrino masses and the mass matrix directly from the experimental mass squared differences delta atm and delta sol, using the assumptions of rational hierarchy (m1/m2 = m2/m3) and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Peter Kaus , Sydney Meshkov

In a seesaw mass matrix model M_f = m_L M_F^{-1} m_R^\dagger with a universal structure of m_L \propto m_R, as the origin of m_L (m_R) for quarks and eptons, flavor-triplet Higgs scalars whose vacuum expectation values v_i are proportional…

High Energy Physics - Phenomenology · Physics 2009-01-07 Yoshio Koide

The hierarchical quark masses and small mixing angles are shown to lead to a simple triangular form for the U- and D-type quark mass matrices. In the basis where one of the matrices is diagonal, each matrix element of the other is, to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. K. Kuo , Sadek W. Mansour , Guo-Hong Wu

We argue that flavour mixing, both in the quark and lepton sector, follows the minimal mixing pattern, according to which the whole of this mixing is basically determined by the physical mass generation for the first family of fermions. So,…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

Motivated by the Super-Kamiokande data, we revisit models with U(1) symmetries and discuss the origin of neutrino masses and mixings in such theories. We show that, in models with just three light neutrinos and a hierarchy of neutrino…

High Energy Physics - Phenomenology · Physics 2009-10-31 Smaragda Lola , Graham G. Ross

Stimulated by the recent development of the ``universal seesaw mass matrix model", an application of the model to the neutrino mass matrix is investigated: For the charged lepton and down-quark sectors, the model explains the smallness of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Krolikowski

A phenomenological quark mass matrix model which includes only two adjustable parameters is proposed from the point of view of the unification of quark and lepton mass matrices. The model can provide reasonable values of quark mass ratios…

High Energy Physics - Phenomenology · Physics 2010-11-01 Yoshio Koide

The complementarity between the quark and lepton mixing matrices is shown to provide robust predictions. We obtain these predictions by first showing that the matrix V_M, product of the quark (CKM) and lepton (PMNS) mixing matrices, may…

High Energy Physics - Phenomenology · Physics 2009-06-11 Marco Picariello , Bhag C. Chauhan , Joao Pulido , Emilio Torrente-Lujan

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of…

High Energy Physics - Phenomenology · Physics 2015-07-29 Harald Fritzsch

In recent papers a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all 3 generations has emerged in that framework. This idea is worked out in detail here by…

High Energy Physics - Phenomenology · Physics 2015-06-19 Bodo Lampe

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)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

A radiative model of quark and lepton masses utilizing the binary tetrahedral ($T^{\prime}$) flavor symmetry, or horizontal symmetry, is proposed which produces the first two generation of quark masses through their interactions with…

High Energy Physics - Phenomenology · Physics 2016-11-18 Alexander Natale

The exchange symmetry between the muon neutrino and the tau neutrino for the neutrino mass matrix has been very useful in understanding the near maximal atmospheric neutrino mixing angle. However, this symmetry can not be imposed at the…

High Energy Physics - Phenomenology · Physics 2015-06-17 Shreyashi Chakdar , Kirtiman Ghosh , S. Nandi

We explore how the seesaw sector in neutrino mass models may be constrained through symmetries to be completely determined in terms of low-energy mass, mixing angle and CP-violating phase observables. The key ingredients are intra-family…

High Energy Physics - Phenomenology · Physics 2010-04-15 Xiao-Gang He , Sandy S. C. Law , Raymond R. Volkas
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