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In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions, and obtain the ratio between the masses of the $t-$ and…

High Energy Physics - Lattice · Physics 2009-10-22 She-Sheng Xue , Giuliano Preparata

We derive empirical relationships among elementary fermion masses based on relatively simple exponential formulae involving quantum numbers for the electromagnetic and strong interactions, with a weak correction factor motivated by a simple…

General Physics · Physics 2009-02-25 Alan Breakstone

New data from neutrino oscillation experiments motivate us to extend a successful mass relation for the charged leptons to the other fundamental fermions. This new universal relation requires a Dirac mass around 3 10^-2 eV for the lightest…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. -M. Gerard , F. Goffinet , M. Herquet

Based on the experimental data and estimations of the charged leptons and quarks masses, a close power law with exponent 3/4 has been found, connecting charged leptons masses and up quarks masses. A similar mass relation has been suggested…

General Physics · Physics 2010-04-13 Dimitar Valev

It is known that the charged lepton masses obey to high precision an interesting empirical relation (Koide relation). In turn, the light neutrino masses cannot obey such a relation. We note that if neutrinos acquire their mass via the…

High Energy Physics - Phenomenology · Physics 2011-07-26 Werner Rodejohann , He Zhang

We apply Koide's mass relation of charged leptons to neutrinos and quarks, with both the normal and inverted mass schemes of neutrinos discussed. We introduce the parameters $k_{\nu}$, $k_u$ and $k_d$ to describe the deviations of neutrinos…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nan Li , Bo-Qiang Ma

It is supposed that the electron neutrino mass is related to the structures and masses of the $W^\pm$ and $Z^0$ bosons. Using a composite model of fermions (described elsewhere), it is shown that the massless neutrino is not consistent with…

General Physics · Physics 2007-05-23 V. N. Yershov

A candidate for the simple empirical neutrino mass formula is found, predicting the mass proportion m_1:m_2:m_3 = 0:4:24 and so, the mass ratio Delta m^2_{32}/Delta m^2_{21} = 35 not inconsistent with its experimental estimate. It involves…

High Energy Physics - Phenomenology · Physics 2011-03-17 Wojciech Krolikowski

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…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Gastmans , Per Osland , Tai Tsun Wu

Two guiding new phenomenological flavor and flavor-electroweak ideas are expounded in this paper: (I) Oppositeness relation between neutrino and Charged Lepton Mass-Degeneracy-Deviation quantities. With inputs from the mass and neutrino…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. M. Lipmanov

Determining the absolute masses of neutrinos is of fundamental importance in particle physics, nuclear physics, and astrophysics. We conjecture that intrinsic mass relations exist between leptons and quarks. Using these relations and…

High Energy Physics - Phenomenology · Physics 2015-06-05 Fu-Guang Cao

We find an intriguing relation between neutrino and charged fermion masses, $|m_{\nu_3^{}}^2- m_{\nu_1^{}}^2| : (m_{\nu_2^{}}^2- m_{\nu_1^{}}^2):: V_{tb}^4 m_\tau^2 m_b^2/m_t^2 : V_{cs}^4 m_\mu^2 m_s^2/m_c^2$. We further indicate this…

High Energy Physics - Phenomenology · Physics 2014-11-21 Pei-Hong Gu

We have long ago derived a theoretical relation between the mass of the electron and the fine structure constant \cite{Nottale1994}, which writes to lowest order $\alpha \ln (m_{\mathbb{P}}/m_e) = 3/8$ (where $m_{\mathbb{P}}$ is the Planck…

General Physics · Physics 2021-04-09 Laurent Nottale

We discuss some known approaches and results as well as few new ideas concerning origins and nature of neutrino mass. The key issues include (i) connections of neutrino and charged fermions masses, relation between masses and mixing, energy…

High Energy Physics - Phenomenology · Physics 2015-02-17 A. Yu. Smirnov

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

The ratio between the proton and electron masses is shown to be close to the ratio between the strong and electromagnetic interaction coupling constants at Extremely Low Energy (ELE). Based on the experimental data, this relation has been…

High Energy Physics - Phenomenology · Physics 2010-03-09 Dimitar Valev

We study the possibility of generating tiny Dirac masses of neutrinos in Left-Right Symmetric Model (LRSM) without requiring the existence of any additional symmetries. The charged fermions acquire masses through a universal seesaw…

High Energy Physics - Phenomenology · Physics 2017-06-06 Debasish Borah , Arnab Dasgupta

We discuss the necessity of a right-handed Weyl neutrino due to the vector-like phenomenon of the regularized Standard Model. It is shown that this right-handed neutrino is decoupled from low energies as a free particle, and Dirac neutrino…

High Energy Physics - Phenomenology · Physics 2007-05-23 She-Sheng Xue

Exponential lepton mass ratios are studied in a low energy phenomenology. In view of the known data, the mass patterns of the charged leptons and widely discussed quasi-degenerate neutrinos are related to one another by two different traits…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. M. Lipmanov

The fermion mass problem is briefly reviewed. The observed hierarchy of quark and charged lepton masses strongly suggests the existence of an approximately conserved chiral flavour symmetry beyond the Standard Model. It is argued that in…

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