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Different approaches to the fermion mass problem are reviewed. We illustrate these approaches by summarizing recent developments in models of quark and lepton mass matrices. Dynamical calculations of the top quark mass are discussed, based…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. D. Froggatt

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…

High Energy Physics - Phenomenology · Physics 2010-04-05 G. G. Ross , L. Velasco-Sevilla

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 show that the main features of the pattern of fermion masses and mixing can be expressed in terms of simple relations among weak-basis invariants. In the quark sector, we identify the weak-basis invariants which signal the observed…

High Energy Physics - Phenomenology · Physics 2015-06-03 G. C. Branco , J. I. Silva-Marcos

We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. The hints exhibited by the quark and lepton mass spectra towards possible underlying flavor symmetries, from which realistic models of mass…

High Energy Physics - Phenomenology · Physics 2014-11-17 Harald Fritzsch , Zhi-zhong Xing

Assuming the same form of all mass matrices as motivated by quark-lepton symmetry, we discuss conditions under which bi-large mixing in the lepton sector can be obtained with a minimal amount of fine tuning requirements for possible models.…

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

We study natural lepton mass matrices, obtained assuming the stability of physical flavour observables with respect to the variations of individual matrix elements. We identify all four possible stable neutrino textures from algebraic…

High Energy Physics - Phenomenology · Physics 2016-06-29 Valerie Domcke , Andrea Romanino

Pursuing a bottom-up approach to explore which flavor symmetry could serve as an explanation of the observed fermion masses and mixings, we discuss an extension of the standard model (SM) where the flavor structure for both quarks and…

High Energy Physics - Phenomenology · Physics 2011-05-05 C. Hagedorn , M. Lindner , R. N. Mohapatra

In the quark sector, we experience a correlation between the mixing angles and the mass ratios. A partial realization of the similar tie-up in the neutrino sector helps to constrain the parametrization of masses and mixing, and hints for a…

High Energy Physics - Phenomenology · Physics 2016-03-25 Subhankar Roy , N. Nimai Singh

We construct a simple model of fermion masses based on a spontaneously broken S3 X Z3 flavour group. At the leading order, in the neutrino sector S3 is broken down to a \nu_\mu-\nu_\tau parity subgroup that enforces a maximal atmospheric…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ferruccio Feruglio , Yin Lin

We discuss the possibility of flavor symmetries to explain the pattern of charged lepton and neutrino masses and mixing angles. We emphasize what are the obstacles for the generation of an almost maximal atmospheric mixing and what are the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Shao-Long Chen , Michele Frigerio , Ernest Ma

We first discuss an approach to the fermion mass problem, according to which the whole of flavour mixing for quarks is determined by the mechanism responsible for generating the physical masses of the up and down quarks: the Lightest…

High Energy Physics - Phenomenology · Physics 2007-05-23 Colin D. Froggatt

We first obtain the most general and compact parametrization of the unitary transformation diagonalizing any 3 by 3 hermitian matrix H, as a function of its elements and eigenvalues. We then study a special class of fermion mass matrices,…

High Energy Physics - Phenomenology · Physics 2010-04-06 Gilles Couture , Cherif Hamzaoui , Steven S. Y. Lu , Manuel Toharia

We have built a renormalizable $U(1)_X$ model with a $\Sigma (18)\times Z_4$ symmetry, whose spontaneous breaking yields the observed SM fermion masses and fermionic mixing parameters. The tiny masses of the light active neutrinos are…

High Energy Physics - Phenomenology · Physics 2021-11-30 V. V. Vien , A. E. Cárcamo Hernández , H. N. Long

Status of the discrete symmetry approach to explanation of the lepton masses and mixing is summarized in view of recent experimental results, in particular, establishing relatively large 1-3 mixing. The lepton mixing can originate from…

High Energy Physics - Phenomenology · Physics 2013-05-22 Alexei Y. Smirnov

We extend a previously developed description of the flavour parameters in the charged fermion sector, based on a U(2) flavour symmetry, to include two main features of the neutrino sector seemingly implied by recent data: a large mixing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Riccardo Barbieri , Paolo Creminelli , Andrea Romanino

Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find…

High Energy Physics - Phenomenology · Physics 2015-03-12 Luca Merlo

I proposed a unified model of particle physic and cosmology in \cite {1}, which can simultaneously account for these origin of the inflation, dark energy, dark matter, neutrino mass and baryon asymmetry. I here focus on the fermion flavor…

General Physics · Physics 2025-10-23 Wei-Min Yang

The large hierarchy between the neutrino mass scale and that of the other fermions seems to be unnatural from a theoretical point of view. Various strategies have been devised in order to generate naturally small values of neutrino masses.…

High Energy Physics - Phenomenology · Physics 2013-03-26 Yasaman Farzan , Silvia Pascoli , Michael A. Schmidt

We revisit the possibility of relating lepton mixing angles with lepton mass hierarchies in a model-independent way. Guided by the existence of such relations in the quark sector, we first consider all the mixing angles, both in charged…

High Energy Physics - Phenomenology · Physics 2016-02-08 Debasish Borah