scholarly journals The impact of different parameterizations on the interpretation of CP violation in neutrino oscillations

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Peter B. Denton ◽  
Rebekah Pestes
Keyword(s):  
Cp Violation ◽  
Mass Matrix ◽  
Current Data ◽  
Good Precision ◽  
Lepton Sector ◽  
Complex Phase ◽  
Dependent Variables ◽  
Mixing Matrix ◽  
Definition Of ◽  
The Impact

Abstract CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase δPDG in the standard PDG definition of the lepton mixing matrix. There are additional parameterizations of the lepton mixing matrix as well. Through various examples, we explore how, given the current data, different parameterizations can lead to different conclusions when working with parameterization dependent variables, such as δ. We demonstrate how the smallness of |Ue3| governs the scale of these results. We then demonstrate how δ can be misleading and argue that the Jarlskog is the cleanest means of presenting the amount of CP violation in the lepton sector. We also confirm that, among the different parameterizations considered, the standard PDG parameterization has a number of convenient features.

scholarly journals A discrete anatomy of the neutrino mass matrix

2014 ◽  
Vol 29 (33) ◽  
pp. 1450179
Author(s):  
G. K. Leontaris ◽  
N. D. Vlachos
Keyword(s):  
Finite Group ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Current Data ◽  
Neutrino Mass Matrix ◽  
Linear Combinations ◽  
Mixing Angle ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Charged Leptons

We investigate the possibility of expressing the charged leptons and neutrino mass matrices as linear combinations of elements of a single finite group. Constraints imposed on the resulting mixing matrix by current data restrict the group types, but allow a nonzero value for the θ13 mixing angle.

scholarly journals AN ANALYTICAL TREATMENT OF THE NEUTRINO MASSES AND MIXINGS

2013 ◽  
Vol 28 (39) ◽  
pp. 1350184
Author(s):  
RENATA JORA ◽  
JOSEPH SCHECHTER ◽  
M. NAEEM SHAHID
Keyword(s):  
Cp Violation ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Neutrino Masses ◽  
Analytical Treatment ◽  
Unit Matrix ◽  
Mixing Matrix ◽  
Analytical Formulas ◽  
Neutrino Masses And Mixings

We obtain analytical formulas which connect the neutrino masses and the leptonic mixing matrix with the entries in the mass matrix for the approximation in which the charged lepton mixing matrix is the unit matrix. We also extract the CP violation phase and determine the conditions in which this is present.

CP Violation in SU(3) × U(1) Electroweak Model

1997 ◽  
Vol 12 (24) ◽  
pp. 4411-4424 ◽  
Author(s):  
Tae Hoon Lee ◽  
Dae Sung Hwang
Keyword(s):  
Cp Violation ◽  
Mass Matrix ◽  
Neutral Current ◽  
Tree Level ◽  
Additional Contribution ◽  
Matrix Elements ◽  
Mixing Angle ◽  
Mixing Matrix ◽  
Electroweak Model ◽  
New Phase

We study the charged and the neutral current interactions of quarks in an SU (3)L × U (1)X electroweak model. Based on the assumption that u-type quarks coincide with their mass eigenstates, we obtain a new mixing angle θ′ and another CP violating phase δ′ in the extra heavy quark sector besides the usual Kobayashi–Maskawa mixing matrix. This new phase δ′ does not effect a change in the mass matrix elements of the [Formula: see text] systems when θ′ is small, but extra heavy quarks and gauge bosons give rise to additional contribution to the real part of the off-diagonal mass matrix elements and then the CP violation parameter ε is modified. By requiring that the tree level FCNC does not have an important effect on the [Formula: see text] and [Formula: see text] mixings in this model, we obtain a new lower bound on the mass of the extra heavy neutral gauge boson as 1.8 TeV.

scholarly journals Predictions for the Dirac CP violation phase in the neutrino mixing matrix

2015 ◽  
Vol 30 (13) ◽  
pp. 1530035 ◽  
Author(s):  
S. T. Petcov ◽  
I. Girardi ◽  
A. V. Titov
Keyword(s):  
Cp Violation ◽  
Sum Rules ◽  
Current Data ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Flavor Symmetries ◽  
Minimal Form ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Matrix Formula

Using the fact that the neutrino mixing matrix [Formula: see text], where Ue and Uν result from the diagonalization of the charged lepton and neutrino mass matrices, we analyze the predictions based on the sum rules which the Dirac phase δ present in U satisfies when Uν has a form dictated by, or associated with, discrete flavor symmetries and Ue has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to Uν, so that the reactor, atmospheric and solar neutrino mixing angles θ13, θ23 and θ12 have values compatible with the current data.

scholarly journals CP violation in the lepton sector and implications for leptogenesis

2018 ◽  
Vol 33 (05n06) ◽  
pp. 1842006 ◽  
Author(s):  
C. Hagedorn ◽  
R. N. Mohapatra ◽  
E. Molinaro ◽  
C. C. Nishi ◽  
S. T. Petcov
Keyword(s):  
Cp Violation ◽  
Standard Model ◽  
Low Energy ◽  
Current Status ◽  
Neutrino Masses ◽  
Flavor Symmetry ◽  
Lepton Sector ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Cp Symmetry

We review the current status of the data on neutrino masses and lepton mixing and the prospects for measuring the CP-violating phases in the lepton sector. The possible connection between low energy CP violation encoded in the Dirac and Majorana phases of the Pontecorvo–Maki–Nakagawa–Sakata mixing matrix and successful leptogenesis is emphasized in the context of seesaw extensions of the Standard Model with a flavor symmetry [Formula: see text] (and CP symmetry).

scholarly journals NEUTRINO MIXING AND THE DOUBLE TETRAHEDRAL GROUP

2013 ◽  
Vol 28 (29) ◽  
pp. 1350157 ◽  
Author(s):  
YONI BENTOV ◽  
A. ZEE
Keyword(s):  
Group Theory ◽  
Cp Violation ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Double Cover ◽  
Neutrino Mass Matrix ◽  
Two Dimensional ◽  
Neutrino Mixing ◽  
Mixing Matrix ◽  
Relevant Group

In the spirit of a previous study of the tetrahedral group T ≃A4, we discuss a minimalist scheme to derive the neutrino mixing matrix using the double tetrahedral group T′, the double cover of T. The new features are three distinct two-dimensional representations and complex Clebsch–Gordan coefficients, which can result in a geometric source of CP violation in the neutrino mass matrix. In an appendix, we derive explicitly the relevant group theory for the tetrahedral group T and its double cover T′.

scholarly journals ON THE PHASE OF $B^0 - \bar B^0 $ MIXING MATRIX ELEMENT IN THE SUSY STANDARD MODEL

1995 ◽  
Vol 10 (22) ◽  
pp. 1577-1582 ◽  
Author(s):  
T. KURIMOTO
Keyword(s):  
Matrix Element ◽  
Cp Violation ◽  
Standard Model ◽  
Yukawa Coupling ◽  
Coupling Constants ◽  
Yukawa Interaction ◽  
Complex Phase ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Minor Correction

It is shown that the complex phase of [Formula: see text] mixing matrix element is the same as that of the standard model up to the minor correction of the order of (mc/mt)2 or less in the SUSY standard model. This conclusion is valid as far as the Yukawa coupling constants are perturbative and realistic, and can be available for other realistic models where generation mixing and CP-violation are solely due to Yukawa interaction among quarks and Higgs doublets.

CAN FOUR-ZERO-TEXTURE MASS MATRIX MODEL REPRODUCE THE QUARK AND LEPTON MIXING ANGLES AND CP VIOLATING PHASES?

2007 ◽  
Vol 16 (05) ◽  
pp. 1395-1403
Author(s):  
KOICHI MATSUDA ◽  
TAKESHI FUKUYAMA ◽  
HIROYUKI NISHIURA
Keyword(s):  
Matrix Model ◽  
Mass Matrix ◽  
Common Zero ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Quark Mixing ◽  
Mass Matrices ◽  
Mixing Matrix

We study the universal quark and lepton mass matrices in the framework of SO (10) GUT. Namely, all the mass matrices have common zero texture in our model. Furthermore, we set a strict restriction from SO (10) GUT on the mass matrices. We find that good fittings to the CKM quark mixing matrix are obtained and this model naturally derives the bi-large mixings in the lepton sector.

scholarly journals HOW CAN CP VIOLATION IN THE NEUTRINO SECTOR BE LARGE IN A 2 ↔ 3 SYMMETRIC MODEL?

2010 ◽  
Vol 25 (18n19) ◽  
pp. 3661-3673 ◽  
Author(s):  
YOSHIO KOIDE ◽  
HIROYUKI NISHIURA
Keyword(s):  
Cp Violation ◽  
Neutrino Mass ◽  
Matrix Model ◽  
Mass Matrix ◽  
Neutrino Mass Matrix ◽  
Symmetric Model ◽  
Neutrino Sector ◽  
Phase Parameter ◽  
Mixing Matrix

Based on a neutrino mass matrix model in which a 2 ↔ 3 symmetry is only broken by a phase parameter, it is investigated how the lepton mixing matrix can deviate from the so-called tribimaximal mixing under a condition that CP is maximally violated.

scholarly journals Recent developments on the CKM matrix

2014 ◽  
Vol 29 (20) ◽  
pp. 1430040 ◽  
Author(s):  
Wei Wang
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Standard Model ◽  
Recent Experimental Data ◽  
Experimental Measurements ◽  
Complex Phase ◽  
Ckm Matrix ◽  
Recent Developments ◽  
Mixing Matrix ◽  
Theoretical Developments

In Standard Model, CP violation arises from an irreducible complex phase in the quark mixing matrix, now under the name Cabibbo–Kobayashi–Maskawa matrix. This description has shown remarkable overall agreement with various experimental measurements. In this review, we discuss recent experimental data and theoretical developments on three quantities of CKM matrix that are most uncertain: the Vub, including its magnitude and the phase γ in standard parametrization, and the [Formula: see text] mixing phase βs.

Sign in / Sign up

Export Citation Format

Share Document