On the Majorana neutrinos and neutrinoless double beta decays

2015 ◽  
Vol 30 (25) ◽  
pp. 1530019 ◽  
Author(s):  
Zhi-Zhong Xing ◽  
Ye-Ling Zhou
Keyword(s):  
Complex Plane ◽  
Mass Formula ◽  
New Physics ◽  
Lepton Number ◽  
Majorana Mass ◽  
Majorana Neutrinos ◽  
Massive Neutrinos ◽  
Beta Decays ◽  
Lepton Number Violating

The neutrinoless double-beta [Formula: see text] decay is a lepton-number-violating process which is experimentally unique for identifying the Majorana nature of massive neutrinos. We give a brief overview of some theoretical aspects of this process. In particular, a novel “coupling-rod” diagram is introduced to describe the effective Majorana mass [Formula: see text] in the complex plane. Possible contributions of new physics to [Formula: see text] are also discussed.

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.

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 Leptogenesis in Supersymmetric Economical 3-3-1 Model

2011 ◽  
Vol 21 (4) ◽  
pp. 295
Author(s):  
Do Thi Huong ◽  
Hoang Ngoc Long ◽  
Nguyen Thi Thuy
Keyword(s):  
Neutrino Oscillation ◽  
Neutrino Mass ◽  
Lepton Number ◽  
Inflationary Scenario ◽  
Loop Level ◽  
Majorana Neutrinos ◽  
The One ◽  
Cosmological Constraint ◽  
Lepton Number Violating

We study a leptogenesis scenario in which the heavy Majorana neutrinos are produced non-thermally in inflaton decays in the supersymmetric economical \(\mathrm{SU}(3)_C\otimes \mathrm{SU}(3)_L \otimes \mathrm{U}(1)_X\) model with inflationary scenario. The lepton-number violating interactions among the inflaton and right-handed neutrinos appear at the one-loop level, and this is a reason for non-thermal leptogenesis scenario. The bound followed from the gravitino abundance and the cosmological constraint on neutrino mass/the neutrino oscillation data is: \(m_{\nu 3} \simeq \frac{0.05}{\delta_{eff}}\) eV. By taking the reheating temperature as low as \(T_R= 10^6\) GeV, we get a limit on the ratio of masses of the light heavies neutrino to those of the inflaton to be: \(\frac{M_{R1}}{M_{\phi}} = 0.87\).

scholarly journals Exploring GeV-scale Majorana neutrinos in lepton-number-violating Λb0 baryon decays

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Jhovanny Mejía-Guisao ◽  
Diego Milanés ◽  
Néstor Quintero ◽  
José D. Ruiz-Álvarez
Keyword(s):  
Lepton Number ◽  
Majorana Neutrinos ◽  
Lepton Number Violating

NEUTRINOLESS DOUBLE BETA DECAY EXPERIMENTS

2019 ◽  
pp. 32-39
Author(s):  
N.S. Rumyantseva ◽  
K.N. Gusev
Keyword(s):  
Standard Model ◽  
Beta Decay ◽  
Electroweak Interaction ◽  
Neutrinoless Double Beta Decay ◽  
New Physics ◽  
Lepton Number ◽  
Double Beta Decay ◽  
The Standard Model ◽  
New Generation ◽  
Lepton Number Violating

Neutrinoless double beta decay is a lepton number violating process which is not allowed in the Standard Model (SM) of the electroweak interaction. The discovery of this process will be an unambiguous confirmation of the existence of New Physics outside the SM. At this moment many experiments are being conducted aimed at searching for neutrinoless double beta decay on various isotopes (76Ge, 136Xe, 130Te, 100Mo, etc.). The paper presents a brief overview of the results of some current projects, such as GERDA, MAJORANA, KamLAND-Zen, EXO-200, CUORE and SuperNEMO, and plans for creating a new generation experiments.

scholarly journals Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays

2018 ◽  
Vol 2018 (2) ◽  
Author(s):  
Asmaa Abada ◽  
Valentina De Romeri ◽  
Michele Lucente ◽  
Ana M. Teixeira ◽  
Takashi Toma
Keyword(s):  
Pseudoscalar Meson ◽  
Mass Matrix ◽  
Lepton Number ◽  
Majorana Mass ◽  
Lepton Number Violating

scholarly journals Majorana neutrinos and lepton-number-violating signals in top-quark and W-boson rare decays

2006 ◽  
Vol 643 (6) ◽  
pp. 342-347 ◽  
Author(s):  
Shaouly Bar-Shalom ◽  
Nilendra G. Deshpande ◽  
Gad Eilam ◽  
Jing Jiang ◽  
Amarjit Soni
Keyword(s):  
Rare Decays ◽  
Top Quark ◽  
W Boson ◽  
Lepton Number ◽  
Majorana Neutrinos ◽  
Lepton Number Violating

scholarly journals EXTENDED GAUGE MODELS AND e−e−→W−W− AT THE NLC

1996 ◽  
Vol 11 (09) ◽  
pp. 1613-1620 ◽  
Author(s):  
THOMAS G. RIZZO
Keyword(s):  
Cross Sections ◽  
Linear Collider ◽  
Center Of Mass ◽  
Lepton Number ◽  
Gauge Models ◽  
Majorana Neutrinos ◽  
The Masses ◽  
Lepton Number Violating

We briefly discuss two possible manifestations of the lepton number violating reaction [Formula: see text] which probes the masses and mixings of heavy Majorana neutrinos, at the Next Linear Collider(NLC). Cross sections for this process are shown to be potentially quite large at center of mass energies of order 1–1.5 TeV.

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