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The even weight modular forms of level $N$ can be arranged into the common irreducible representations of the inhomogeneous finite modular group $\Gamma_N$ and the homogeneous finite modular group $\Gamma'_N$ which is the double covering of…

High Energy Physics - Phenomenology · Physics 2021-09-30 Jun-Nan Lu , Xiang-Gan Liu , Gui-Jun Ding

We propose a mass matrix model that gives a unified description of quark and lepton with the same texture form based on a flavor 2 <-> 3 symmetry. The model is in contrast with the conventional picture that the mass matrix forms in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Koichi Matsuda , Hiroyuki Nishiura

We reanalyze the mass matrices model of quarks and leptons which gives a unified description of quark and lepton mass matrices with the same texture form. By investigating possible types of the assignment for the texture's components of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Koichi Matsuda , Hiroyuki Nishiura

If the standard model of quark interactions is supplemented by a discrete A_4 symmetry (which may be relevant for the lepton sector), the spontaneous breaking of the electroweak gauge symmetry allows arbitrary quark masses, but all mixing…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ernest Ma

In the context of texture 4 - zero and texture 5 - zero hierarchical quark mass matrices, CP violating asymmetry in $B^o_d({\bar B}^o_d) \to \psi K_S$ (sin2$\beta$) has been evaluated by considering quark masses at $m_Z$ scale. For a…

High Energy Physics - Phenomenology · Physics 2011-03-23 Monika Randhawa , Manmohan Gupta

We study the implications of the simultaneous existence of a texture zero and a vanishing minor in the neutrino mass matrix. There are thirty six possible texture structures of this type, twenty one of which reduce to two texture zero cases…

High Energy Physics - Phenomenology · Physics 2010-04-14 S. Dev , Surender Verma , Shivani Gupta , R. R. Gautam

Against the conventional picture that the mass matrix forms in the quark sectors will take somewhat different structures from those in the lepton sectors, a possibility that all the mass matrices of quarks and leptons have the same form as…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yoshio Koide , Hiroyuki Nishiura , Koichi Matsuda , Tatsuru Kikuchi , Takeshi Fukuyama

The quark Cabibbo-Kobayashi-Maskawa mixing matrix is a fundamental part of the Standard Model accurately determined to fit world data analysis. In this paper the CKM matrix elements are high accurately rendered via simple compact…

General Physics · Physics 2009-10-12 E. M. Lipmanov

We have recently argued that quark masses may follow a simple scaling law. In this paper we build a simple mass matrix for quarks that can reproduce the scaling law expression. The simple mass matrices of the model are then generalized…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alp Deniz Özer

I present a new model for the quark mass matrices, which uses four scalar doublets together with a horizontal symmetry S3 x Z3. The model is inspired on a suggestion made a few years ago by Ma, but it is different. The predictions |Vts|…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Lavoura

We investigate the possibility to describe the quark mass hierarchies as well as the CKM quark mixing matrix without fine-tuning in a quark flavour model with modular $A_4$ symmetry. The quark mass hierarchies are considered in the vicinity…

High Energy Physics - Phenomenology · Physics 2023-07-26 S. T. Petcov , M. Tanimoto

We consider an universal mass matrix model which has a seesaw-invariant structure with the most general texture based on flavor 2 (\leftrightarrow) 3 symmetry common to all quarks and leptons. The CKM quark mixing matrix of the model is…

High Energy Physics - Phenomenology · Physics 2008-12-18 Hiroyuki Nishiura , Koichi Matsuda , Takeshi Fukuyama

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…

High Energy Physics - Phenomenology · Physics 2025-07-17 Manoj Kumar , Nikhila Awasthi , Monika Randhawa , Manmohan Gupta

I review how the determination of quark masses from lattice QCD can be used to study textures in quark mass matrices. This type of theory relates quark masses to CKM matrix elements. I demonstrate how the recent precision results from the…

High Energy Physics - Lattice · Physics 2010-04-29 Craig McNeile

We present simple effective theory of quark masses, mixing and CP violation with level $N=3$ ($A_4$) modular symmetry, which provides solution to the strong CP problem without the need for an axion. The vanishing of the strong CP-violating…

High Energy Physics - Phenomenology · Physics 2024-07-03 S. T. Petcov , M. Tanimoto

We carry out a new study of quark mass matrices $M^{}_{\rm u}$ (up-type) and $M^{}_{\rm d}$ (down-type) which are Hermitian and have four zero entries, and find a new part of the parameter space which was missed in the previous works. We…

High Energy Physics - Phenomenology · Physics 2015-06-08 Zhi-zhong Xing , Zhen-hua Zhao

Out of the fifteen 3 x 3 neutrino mass matrices with two texture zeros seven are compatible with the neutrino oscillation data. While 2 of them correspond to hierarchical neutrino masses and 1 to an inverted hierarchy, the remaining 4…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bipin R. Desai , D. P. Roy , Alexander R. Vaucher

A nearly historical account of quark mass matrix models is given, and the structure of quark mass matrices in the Standard Model is studied. For a minimal parameter basis suggested earlier, where $M_u$ is diagonal and $M_{d11}$, $M_{d13}$,…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Falcone

A model with fermion and scalar fields charged under a Peccei-Queen~(PQ) symmetry is proposed. The PQ charges are chosen in such a way that they can reproduce mass matrices with five texture zeros, {which can generate} the fermion masses,…

High Energy Physics - Phenomenology · Physics 2023-08-02 Yithsbey Giraldo , R. Martínez , Eduardo Rojas , Juan C. Salazar

A model of quark mass matrices from six dimensions, which is nearly democatic in nature and which is previously constructed by two of us (PQH and MS), is studied in detail in this manuscript. We found that not only it fits all the six quark…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Q. Hung , M. Seco , A. Soddu
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