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We propose a new pattern of the neutrino mixing matrix which can be parametrized as the product of an arbitrary Hermitian matrix and the well-known tri-bimaximal mixing matrix. In this scenario, nontrivial values of the smallest neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shu Luo

Following a recent approach to quaternionic curves, we defined the quaternionic polar angle that enabled us to define global properties of quaternionic curves, namely the winding number and the homotopy concept. The results admit various…

Mathematical Physics · Physics 2022-05-03 Sergio Giardino

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

In drawing on an analogy with the flavor mixing observed in the quark sector we discuss a pattern of large flavor mixing angles in the lepton sector. Simple arguments based on a democratic symmetry and its violation in the lepton sector…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Fritzsch , Zhi-Zhong Xing

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

We extend the $S$-matrix of gravity by the addition of the minimal three-point amplitude or equivalently adding $R^3$ terms to the Lagrangian. We demonstrate how Unitarity can be used to simply examine the renormalisability of this theory…

High Energy Physics - Theory · Physics 2018-02-28 David C. Dunbar , John H. Godwin , Guy R. Jehu , Warren B. Perkins

Basic concepts and definitions in differential geometry and topology which are important in the theory of solitons and instantons are reviewed. Many examples from soliton theory are discussed briefly, in order to highlight the application…

High Energy Physics - Theory · Physics 2007-05-23 Nematollah Riazi

Calculations of transverse polarization of leptons in the decay $W\rightarrow l\nu$ with polarized $W$'s are presented. Planned accelerators will produce enough $W$'s for observation of the Standard Model contributions to this polarization.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Shao Liu , Myron Bander

We relate leptogenesis in a class of theories to low-energy experimental observables: quark and lepton masses and mixings. With reasonable assumptions motivated by grand unification, one can show that the CP-asymmetry parameter takes a…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. S. Berger , Kim Siyeon

The energy spectra of the lepton(s) in eebar --> ttbar --> l^{+-}X/ l^+l^- X' at next linear colliders (NLC) are analyzed a model-independent way for arbitrary longitudinal beam polarizations as a general test of possible anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zenro Hioki

We announce numerous new results in the theory of orthogonal polynomials on the unit circle.

Spectral Theory · Mathematics 2007-05-23 Barry Simon

We propose a scheme of lepton mixing in which the unitary matrix that diagonalizes the neutrino mass matrix is bimaximal and the deviation from bimaximal of the lepton mixing matrix is due to the unitary matrix that diagonalizes the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Giunti , M. Tanimoto

Elastic lepton scattering off of a nucleon has proved to be an efficient tool to study the structure of the hadron. Modern cross section and asymmetry measurements at Jefferson Lab require effects beyond the leading order Born approximation…

High Energy Physics - Phenomenology · Physics 2018-07-18 Oleksandr Koshchii , Andrei Afanasev

We model tri-bimaximal lepton mixing from first principles in a way that avoids the problem of the vacuum alignment characteristic of such models. This is achieved by using a softly broken A4 symmetry realized with an isotriplet fermion,…

High Energy Physics - Phenomenology · Physics 2010-04-15 M. Hirsch , S. Morisi , J. W. F. Valle

We present theoretical and experimental study of plasmonic Hetero-Chiral structures, comprised of constituents with opposite chirality. We devise, simulate and experimentally demonstrate different schemes featuring selective surface plasmon…

Optics · Physics 2014-06-03 Grisha Spektor , Asaf David , Bergin Gjonaj , Lior Gal , Meir Orenstein

In the framework of the Standard Model with lepton mixing the radiative decay $\nu_i \rightarrow \nu_j \gamma$ of a neutrino of high ($E_\nu \sim 100 \, GeV$) and super-high ($E_\nu \ge 1 \, TeV$) energy is investigated in the Coulomb field…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Gvozdev , N. V. Mikheev , L. A. Vassilevskaya

The toric surfaces for octonions and related objects are discussed.

Algebraic Geometry · Mathematics 2021-03-01 Vadim Schechtman

Some properties of lepton mixing and neutrino masses can be computed under the assumption of A5 and CP as a symmetry in the leptonic sector. The results show that four mixing patterns accommodate well the oscillation data, i.e. all the…

High Energy Physics - Phenomenology · Physics 2016-04-29 Andrea Di Iura

In this paper we present a geometrical framework to study the uniformity of a composite material by means of double groupoid theory. The notions of vertical and horizontal uniformity are introduced, as well as other weaker ones that allows…

Mathematical Physics · Physics 2025-04-04 V. M. Jiménez , M. De León , M. Epstein

Nuclear supersymmetry is reviewed and some of its applications and extensions are discussed, together with a proposal for new, more stringent and precise tests to probe the supersymmetry classification, in particular, correlations between…

Nuclear Theory · Physics 2009-11-10 J. Barea , R. Bijker , A. Frank