The three-flavor Pauli model for Majorana neutrinos and the problem of neutrino masses

2008 ◽  
Vol 53 (12) ◽  
pp. 624-629
Author(s):  
Yu. V. Gaponov
Keyword(s):  
Neutrino Masses ◽  
Majorana Neutrinos

scholarly journals Radiative Corrections toMhfrom Three Generations of Majorana Neutrinos and Sneutrinos

2015 ◽  
Vol 2015 ◽  
pp. 1-26 ◽  
Author(s):  
S. Heinemeyer ◽  
J. Hernandez-Garcia ◽  
M. J. Herrero ◽  
X. Marcano ◽  
A. M. Rodriguez-Sanchez
Keyword(s):  
Higgs Boson ◽  
Higgs Mass ◽  
Critical Discussion ◽  
Full Detail ◽  
Neutrino Masses ◽  
Type I ◽  
Radiative Corrections ◽  
Seesaw Mechanism ◽  
Three Generations ◽  
Majorana Neutrinos

We study the radiative corrections to the mass of the lightest Higgs boson of the MSSM from three generations of Majorana neutrinos and sneutrinos. The spectrum of the MSSM is augmented by three right handed neutrinos and their supersymmetric partners. A seesaw mechanism of type I is used to generate the physical neutrino masses and oscillations that we require to be in agreement with present neutrino data. We present a full one-loop computation of these Higgs mass corrections and analyze in full detail their numerical size in terms of both the MSSM and the new (s)neutrino parameters. A critical discussion on the different possible renormalization schemes and their implications, in particular concerning decoupling, is included.

scholarly journals CONSTRAINTS OF MIXING ANGLES FROM LEPTON NUMBER VIOLATING PROCESSES

1999 ◽  
Vol 14 (06) ◽  
pp. 433-445 ◽  
Author(s):  
HIROYUKI NISHIURA ◽  
KOUICHI MATSUDA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Beta Decay ◽  
Neutrinoless Double Beta Decay ◽  
Lepton Number ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Mixing Angles ◽  
Left Handed ◽  
Majorana Neutrinos ◽  
Mixing Matrix ◽  
Lepton Number Violating

We discuss the constraints of lepton mixing angles from lepton number violating processes such as neutrinoless double beta decay, μ--e+ conversion and K decay, K-→π+μ-μ- which are allowed only if neutrinos are Majorana particles. The rates of these processes are proportional to the averaged neutrino mass defined by [Formula: see text] in the absence of right-handed weak coupling. Here a, b(j) are flavor(mass) eigenstates and Uaj is the left-handed lepton mixing matrix. We give general conditions imposed on <mν>ab in terms of mi, lepton mixing angles and CP violating phases (three phases in Majorana neutrinos). These conditions are reduced to the constraints among mi, lepton mixing angles and <mν>ab which are irrelevant to the concrete values of CP phases. Given a <mν>ab experimentally, these conditions constrain mi and the lepton mixing angles. Though these constraints are still loose except for neutrinoless double beta decay, they will become helpful through rapid improvements of experiments. By using these constraints we also derive the limits on averaged neutrino masses for μ--e+ conversion and K decay, K-→π+μ-μ-, respectively. We also present the bounds for CP phases in terms of mi, mixing angles and <mν>ab.

scholarly journals MUONIUM–ANTIMUONIUM OSCILLATIONS AND MASSIVE MAJORANA NEUTRINOS

2004 ◽  
Vol 19 (04) ◽  
pp. 297-306 ◽  
Author(s):  
T. E. CLARK ◽  
S. T. LOVE
Keyword(s):  
Matrix Element ◽  
Interesting Case ◽  
Neutrino Masses ◽  
Leading Order ◽  
Seesaw Mechanism ◽  
The Standard Model ◽  
Oscillation Process ◽  
Majorana Neutrinos ◽  
Order Matrix Element ◽  
Neutrino Masses And Mixings

The electron and muon number violating muonium–antimuonium oscillation process can proceed provided that neutrinos have nonzero masses and mix among the various generations. Modifying the Standard Model only by the inclusion of singlet right-handed neutrino fields and allowing for general neutrino masses and mixings, the leading order matrix element contributing to this process is computed. For the particularly interesting case where the neutrino masses are generated by a seesaw mechanism with a very large Majorana mass MR≫MW, it is found that both the very light and very heavy Majorana neutrinos each give comparable contributions to the oscillation time scale proportional to [Formula: see text]. Present experimental limits set by the non-observation of the oscillation process sets a lower limit on MR of roughly of order 104 GeV.

Effective ℒ5 Lagrangian and masses of Majorana neutrinos

2021 ◽  
pp. 2150081
Author(s):  
Olakanmi F. Akinto ◽  
Farida Tahir
Keyword(s):  
Mass Formula ◽  
Symmetric Matrix ◽  
Majorana Neutrino ◽  
Lepton Number ◽  
Neutrino Masses ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Majorana Neutrinos ◽  
Cosmological Data ◽  
Good Agreement

Using the fact that neutrinos only participate in weak and gravitational interactions, we explore the possibility of having their masses emerged at the intersection between extended electroweak theory and theory of gravity. We describe how these two seemingly incompatible theories could be embedded in a lepton-number violating 5-dimensional Lagrangian [Formula: see text]. A peculiar feature of this approach is its ability to generate effective Majorana neutrino masses via the spontaneous symmetry breaking (SSB) of Grand Unified Theory (GUT), [Formula: see text] and 4[Formula: see text] symmetric matrix of gravitational couplings. Within the purview of this theoretical framework, we obtain values for the effective Majorana mass [Formula: see text][Formula: see text]meV, and the Majorana neutrino masses [Formula: see text][Formula: see text]meV, [Formula: see text][Formula: see text]meV, [Formula: see text][Formula: see text]meV, [Formula: see text][Formula: see text]meV and [Formula: see text][Formula: see text]eV. Our results are in good agreement with both experimental and cosmological data.

scholarly journals GAUGE INVARIANCE OF THE MUONIUM–ANTIMUONIUM OSCILLATION TIME SCALE AND LIMITS ON RIGHT-HANDED NEUTRINO MASSES

2009 ◽  
Vol 24 (05) ◽  
pp. 335-348 ◽  
Author(s):  
BOYANG LIU
Keyword(s):  
Gauge Invariance ◽  
Time Scale ◽  
Mass Scale ◽  
Neutrino Masses ◽  
Leading Order ◽  
Seesaw Mechanism ◽  
The Standard Model ◽  
Oscillation Process ◽  
Majorana Neutrinos ◽  
Order Matrix Element

The gauge invariance of the muonium–antimuonium [Formula: see text] oscillation time scale is explicitly demonstrated in the Standard Model modified only by the inclusion of singlet right-handed neutrinos and allowing for general renormalizable interactions. The seesaw mechanism is exploited resulting in three light Majorana neutrinos and three heavy Majorana neutrinos with mass scale MR≫MW. The leading order matrix element contribution to the [Formula: see text] oscillation process is computed in Rξ gauge and shown to be ξ-independent thereby establishing the gauge invariance to this order. Present experimental limits resulting from the non-observation of the oscillation process sets a lower limit on MR roughly of order 600 GeV.

scholarly journals Almost Maximally Broken Permutation Symmetry for Neutrino Mass Matrix

1997 ◽  
Vol 12 (16) ◽  
pp. 1175-1184 ◽  
Author(s):  
Kyungsik Kang ◽  
Sin Kyu Kang ◽  
Jihn E. Kim ◽  
Pyungwon Ko
Keyword(s):  
Mass Matrix ◽  
Atmospheric Neutrino ◽  
Current Data ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Family Symmetry ◽  
Majorana Neutrinos ◽  
Charged Leptons ◽  
The Masses

Assuming three light neutrinos are Majorana particles, we propose mass matrix ansatz for the charged leptons and Majorana neutrinos with family symmetry S3 broken into S1 and S2, respectively. Each matrix has three parameters, which are fixed by measured charged lepton masses, differences of squared neutrino masses relevant to the solar and the atmospheric neutrino puzzles, and the masses of three light Majorana neutrinos as a candidate for hot dark matter with ∑|mν|~ 6 eV . The resulting neutrino mixing is compatible with the data for the current upper limit, <mνe> th <0.7 eV , of neutrino-less double beta decay experiments, and the current data for various types of neutrino oscillation experiments. One solution of our model predicts that νμ→ντ oscillation probability is about < 0.008 with Δm2 ~ 10-2 eV 2, which may not be accessible at CHORUS and other on-going experiments.

scholarly journals SO(3) GAUGE SYMMETRY AND NEARLY TRI-BIMAXIMAL NEUTRINO MIXING

2008 ◽  
Vol 23 (21) ◽  
pp. 3376-3383 ◽  
Author(s):  
YUE-LIANG WU
Keyword(s):  
Recent Progress ◽  
Higgs Bosons ◽  
Neutrino Masses ◽  
Flavor Symmetry ◽  
Neutrino Mixing ◽  
Family Symmetry ◽  
Mixing Angle ◽  
Majorana Neutrinos ◽  
Charged Leptons ◽  
Made In

In this note I mainly focus on the neutrino physics part in my talk and report the most recent progress made in 1. It is seen that the Majorana features of neutrinos and SO (3) gauge flavor symmetry can simultaneously explain the smallness of neutrino masses and nearly tri-bimaximal neutrino mixing when combining together with the mechanism of approximate global U (1) family symmetry. The mixing angle θ13 and CP-violating phase are in general nonzero and testable experimentally at the allowed sensitivity. The model also predicts the existence of vector-like Majorana neutrinos and charged leptons as well as new Higgs bosons, some of them can be light and explored at the LHC and ILC.

GENERALIZED FUKUGITA–TANIMOTO–YANAGIDA NEUTRINO MASS ANSATZ

2007 ◽  
Vol 16 (05) ◽  
pp. 1405-1416 ◽  
Author(s):  
MIDORI OBARA ◽  
ZHI-ZHONG XING
Keyword(s):  
Beta Decay ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Effective Masses ◽  
Majorana Neutrinos ◽  
Mass Degeneracy ◽  
The Masses

We generalize the Fukugita–Tanimoto–Yanagida ansatz by allowing the masses of three heavy right-handed Majorana neutrinos, Mi (i = 1,2,3), to be partially non-degenerate and search for the parameter space which can be consistent with the current neutrino oscillation data, for three non-degenerate mass cases (A) M3 = M2 ≠ M1, (B) M2 = M1 ≠ M3 and (C) M1 = M3 ≠ M2. We also examine the effect of the deviation from the complete mass degeneracy in each case. Finally, we obtain the numerical constraints on three light neutrino masses, three neutrino mixing angles and three CP-violating phases, together with the predictions for the Jarlskog invariant of CP violation and the effective masses of the tritium beta decay and the neutrinoless double-beta decay.

scholarly journals NEUTRINO MASSES AND THE BARYON ASYMMETRY

2000 ◽  
Vol 15 (32) ◽  
pp. 5047-5086 ◽  
Author(s):  
W. BUCHMÜLLER ◽  
M. PlÜMACHER
Keyword(s):  
High Temperature ◽  
Atmospheric Neutrino ◽  
Majorana Neutrino ◽  
Baryon Asymmetry ◽  
Symmetry Groups ◽  
Neutrino Masses ◽  
Boltzmann Equations ◽  
The Standard Model ◽  
Majorana Neutrinos ◽  
Symmetric Phase

Due to sphaleron processes in the high-temperature symmetric phase of the standard model the cosmological baryon asymmetry is related to neutrino properties. For hierarchical neutrino masses, with B-L broken at the unification scale ΛGUT~1016 GeV, the observed baryon asymmetry nB/s~10-10 can be naturally explained by the decay of heavy Majorana neutrinos. We illustrate this mechanism with two models of neutrino masses, consistent with the solar and atmospheric neutrino anomalies, which are based on the two symmetry groups SU(5)×U(1)F and SU(3)c×SU(3)L×SU(3)R×U(1)F. We also review related cosmological bounds on Majorana neutrino masses and the use of Boltzmann equations.

Sign in / Sign up

Export Citation Format

Share Document