scholarly journals Revealing neutrino nature and CPT violation with decoherence effects

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Luca Buoninfante ◽  
Antonio Capolupo ◽  
Salvatore M. Giampaolo ◽  
Gaetano Lambiase
Keyword(s):  
A Priori ◽  
Cpt Violation ◽  
Fundamental Symmetries ◽  
Precise Form ◽  
Three Generations ◽  
Majorana Neutrinos ◽  
Mixing Matrix ◽  
Theoretical Results

AbstractWe study decoherence effects on mixing among three generations of neutrinos. We show that in presence of a non-diagonal dissipation matrix, both Dirac and Majorana neutrinos can violate the CPT symmetry and the oscillation formulae depend on the parametrization of the mixing matrix. We reveal the CP violation in the transitions preserving the flavor, for a certain form of the dissipator. In particular, for such dissipators, the CP violation affects all the transitions in the case of Majorana neutrinos, unlike Dirac neutrinos which still preserve the CP symmetry in one of the transitions flavor preserving. The precise form of the dissipation matrix is not known a-priori as it depends on the nature of the phenomenon that originates it. However, our theoretical results show that decoherence effects, if exist for neutrinos, could allow to reveal the neutrino nature and to test fundamental symmetries.

Double-beta-decay suppression with three generations of Majorana neutrinos

1985 ◽  
Vol 32 (5) ◽  
pp. 1241-1243
Author(s):  
Charles Picciotto ◽  
Julie Kopac
Keyword(s):  
Beta Decay ◽  
Double Beta Decay ◽  
Three Generations ◽  
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 THE MASS DIFFERENCE OF $F-\bar{F}$ WITH SO(3) FAMILY GAUGE SYMMETRY

2012 ◽  
Vol 27 (20) ◽  
pp. 1250107 ◽  
Author(s):  
HONG-LEI LI ◽  
SHOU-SHAN BAO ◽  
ZONG-GUO SI
Keyword(s):  
Gauge Symmetry ◽  
Mass Difference ◽  
Simple Extension ◽  
Gauge Bosons ◽  
Majorana Neutrinos ◽  
Mixing Matrix ◽  
Gauge Interaction

As a simple extension, a non-Abelian family gauge symmetry SO(3), as well as three family Majorana neutrinos, was introduced to explain the tri-bimaximal mixing matrix of neutrinos. We discuss the effect of the possible SO(3) family gauge interaction to the mass differences of [Formula: see text] and [Formula: see text], and get the constrains to the new gauge bosons.

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.

GENERALIZED CP INVARIANCE, NEUTRAL FLAVOR CONSERVATION AND THE STRUCTURE OF THE MIXING MATRIX

1988 ◽  
Vol 03 (03) ◽  
pp. 603-616 ◽  
Author(s):  
H. NEUFELD ◽  
W. GRIMUS ◽  
G. ECKER
Keyword(s):  
Cp Violation ◽  
Gauge Theories ◽  
Absolute Magnitude ◽  
Complete Analysis ◽  
Yukawa Couplings ◽  
Three Generations ◽  
Mixing Matrix ◽  
Usual Case ◽  
Cp Invariance

CP invariance of SU (2)L× U (1) gauge theories is formulated in the most general way. Certain useful standard forms for CP transformations are presented. After a review of horizontal symmetries inducing neutral flavor conservation, we discuss a toy model where CP invariance enforces neutral flavor conservation in a nontrivial way. It is shown that spontaneous CP violation in its general form and neutral flavor conservation lead to a real mixing matrix for three generations. For more than three generations, the mixing matrix may violate CP. A complete analysis of the possible mixing matrices for any number of generations is performed for the usual case of real Yukawa couplings. If the mixing matrix violates CP, some of its elements must be equal in absolute magnitude. For four generations, all possible structures compatible with experiment are specified.

scholarly journals Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation

2021 ◽  
Vol 31 (1) ◽  
pp. 19-34
Author(s):  
M.A. Kerefov ◽  
S.Kh. Gekkieva
Keyword(s):  
Moisture Transfer ◽  
A Priori Estimates ◽  
A Priori ◽  
Method Of Lines ◽  
Numerical Tests ◽  
Rates Of Change ◽  
Priori Estimates ◽  
The Method Of Lines ◽  
Numerical Analytical Method ◽  
Theoretical Results

The paper studies qualitatively new equations of moisture transfer, which generalize the Aller and Aller-Lykov equations. The generalization contributes to revealing in the original equations the specific features of the studied massifs, their structure, physical properties, processes occurring in them through the introduction of the notion of the rates of change of the fractal dimension. We have obtained solutions to the constant coefficient difference equations as a system arising when using the method of lines for the equations with a Riemann-Liouville time fractional derivative with boundary conditions of the first kind. A priori estimates are obtained that imply convergence of the obtained solutions to systems of ordinary differential equations with variable fractional coefficients. Numerical tests have been carried out to confirm theoretical results of the study.

scholarly journals Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains

2022 ◽  
Author(s):  
Erik Burman ◽  
Stefan Frei ◽  
Andre Massing
Keyword(s):  
Parabolic Equation ◽  
Stokes Equations ◽  
A Priori ◽  
Time Dependent ◽  
Numerical Examples ◽  
Time Stepping ◽  
Discretisation Error ◽  
Moving Domains ◽  
Theoretical Results ◽  
Norm Error

AbstractThis article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a recent paper by Lehrenfeld and Olshanskii (ESAIM: M2AN 53(2):585–614, 2019), where BDF-type time-stepping schemes are studied for a parabolic equation on moving domains. For space discretisation, a geometrically unfitted finite element discretisation is applied in combination with Nitsche’s method to impose boundary conditions. Physically undefined values of the solution at previous time-steps are extended implicitly by means of so-called ghost penalty stabilisations. We derive a complete a priori error analysis of the discretisation error in space and time, including optimal $$L^2(L^2)$$ L 2 ( L 2 ) -norm error bounds for the velocities. Finally, the theoretical results are substantiated with numerical examples.

Sensorless In-Hand Manipulation by An Underactuated Robot Hand

2020 ◽  
Vol 12 (5) ◽  
Author(s):  
Diego Ospina ◽  
Alejandro Ramirez-Serrano
Keyword(s):  
State Of The Art ◽  
A Priori ◽  
Experimental Tests ◽  
Robot Hand ◽  
A Priori Information ◽  
Robot Hands ◽  
Priori Information ◽  
Underactuated Robot ◽  
Theoretical Results ◽  
Manipulation Strategy

Abstract The limited dexterity that existing hand prostheses provide to users contrasts with the manipulation abilities exhibited by state-of-the-art robot hands. This paper presents an underactuated robot hand with in-hand manipulation capabilities to demonstrate the use of underactuation in the development of effective hand replacements. This paper describes a specific underactuated hand architecture, representative of many existing underactuated hand prototypes. First, the hand is modeled and its ability to manipulate objects of different geometries is analyzed. Second, a manipulation strategy suitable for prosthetic applications is proposed. The strategy enables the hand to manipulate objects in-hand without any a priori information of their geometry or physical properties. Finally, experimental tests conducted to validate the theoretical results are presented.

scholarly journals Existence of solutions of a non-variational bi-harmonic system via fixed point theory

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4113-4130 ◽  
Author(s):  
Idir Mechai ◽  
Metib Alghamdi ◽  
Habib Yazidi
Keyword(s):  
Numerical Solutions ◽  
Existence Of Solutions ◽  
A Priori Estimates ◽  
Fixed Point Theory ◽  
A Priori ◽  
Point Theory ◽  
Estimates Of Solutions ◽  
Priori Estimates ◽  
Theoretical Results ◽  
Harmonic System

We prove existence of a positive solution for a system of non-variational bi-harmonic equations. Furthermore, we give some a priori estimates of solutions and a non-existence result. In addition we compute numerical solutions to illustrate the theoretical results.

scholarly journals A method to enrich experimental datasets by means of numerical simulations in view of classification tasks.

2021 ◽  
Author(s):  
Damiano Lombardi ◽  
Fabien Raphel
Keyword(s):  
Numerical Simulations ◽  
A Priori ◽  
Industrial Applications ◽  
Main Question ◽  
Science And Engineering ◽  
Numerical Studies ◽  
Nearest Neighbours ◽  
Classification Tasks ◽  
Priori Information ◽  
Theoretical Results

Classification tasks are frequent in many applications in science and engineering. A wide variety of statistical learning methods exist to deal with these problems. However, in many industrial applications, the number of available samples to train and construct a classifier is scarce and this has an impact on the classifications performances. In this work, we consider the case in which some a priori information on the system is available in form of a mathematical model. In particular, a set of numerical simulations of the system can be integrated to the experimental dataset. The main question we address is how to integrate them systematically in order to improve the classification performances. The method proposed is based on Nearest Neighbours and on the notion of Hausdorff distance between sets. Some theoretical results and several numerical studies are proposed.

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