scholarly journals POSSIBILITY OF OBSERVING LEPTONIC CP VIOLATION WITH PERTURBED DEMOCRATIC MIXING PATTERNS

2012 ◽  
Vol 27 (31) ◽  
pp. 1250175 ◽  
Author(s):  
K. N. DEEPTHI ◽  
R. MOHANTA
Keyword(s):  
Cp Violation ◽  
Precise Measurement ◽  
Daya Bay ◽  
Leptonic Sector ◽  
Mixing Matrix ◽  
Mixing Patterns

The Daya Bay oscillation has recently reported the precise measurement of θ13≃8.8°±0.8° or θ13 ≠0 at 5.2 σ level. The observed nonzero θ13 can be accommodated by some general modifications to the democratic mixing matrix. Using such matrices we study the possibility of observing nonzero CP violation in the leptonic sector.

scholarly journals CP VIOLATION IN NEUTRINO MIXING MATRIX AND LEPTOGENESIS

2001 ◽  
Vol 16 (09) ◽  
pp. 603-613 ◽  
Author(s):  
YONG LIU ◽  
UTPAL SARKAR
Keyword(s):  
Cp Violation ◽  
Invariant Measures ◽  
Lepton Number ◽  
Effective Theory ◽  
Neutrino Mixing ◽  
Lepton Asymmetry ◽  
Mixing Angles ◽  
Leptonic Sector ◽  
Mixing Matrix ◽  
Lepton Number Violating

The CP violation required in leptogenesis may have different origin, but in an effective theory they are all related to the rephasing invariant CP violating measures in the mixing matrix of the leptonic sector. We point out that with our present knowledge of the mixing angles it is possible to estimate the maximum allowed value for all the rephasing invariant measures of CP violation in the leptonic sector. In the effective three-generation scenario there are three CP violating rephasing invariant measures. We show that only one rephasing invariant measure enters the lepton number conserving processes while the other two enter the lepton number violating processes. In the bimaximal mixing case, the lepton number conserving measure of CP violation vanishes while the two lepton number violating rephasing invariant measures of CP violation remain nonzero, which could contribute to the lepton asymmetry of the universe.

scholarly journals Current and future neutrino oscillation constraints on leptonic unitarity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Sebastian A. R. Ellis ◽  
Kevin J. Kelly ◽  
Shirley Weishi Li
Keyword(s):  
Precise Measurement ◽  
Sterile Neutrino ◽  
Current Knowledge ◽  
Unknown Origin ◽  
Neutrino Masses ◽  
Matrix Elements ◽  
Neutrino Mixing ◽  
Next Generation ◽  
Active Neutrino ◽  
Mixing Matrix

Abstract The unitarity of the lepton mixing matrix is a critical assumption underlying the standard neutrino-mixing paradigm. However, many models seeking to explain the as-yet-unknown origin of neutrino masses predict deviations from unitarity in the mixing of the active neutrino states. Motivated by the prospect that future experiments may provide a precise measurement of the lepton mixing matrix, we revisit current constraints on unitarity violation from oscillation measurements and project how next-generation experiments will improve our current knowledge. With the next-generation data, the normalizations of all rows and columns of the lepton mixing matrix will be constrained to ≲10% precision, with the e-row best measured at ≲1% and the τ-row worst measured at ∼10% precision. The measurements of the mixing matrix elements themselves will be improved on average by a factor of 3. We highlight the complementarity of DUNE, T2HK, JUNO, and IceCube Upgrade for these improvements, as well as the importance of ντ appearance measurements and sterile neutrino searches for tests of leptonic unitarity.

Majorana neutrinos and CP violation in the leptonic sector

1986 ◽  
Vol 180 (3) ◽  
pp. 264-268 ◽  
Author(s):  
G.C. Branco ◽  
L. Lavoura ◽  
M.N. Rebelo
Keyword(s):  
Cp Violation ◽  
Leptonic Sector ◽  
Majorana Neutrinos

scholarly journals Unitarity of neutrino mixing matrix

2019 ◽  
Vol 206 ◽  
pp. 09009
Author(s):  
Ha Nguyen Thi Kim ◽  
Van Nguyen Thi Hong ◽  
Son Cao Van
Keyword(s):  
Cp Violation ◽  
Neutrino Oscillations ◽  
Graphical Form ◽  
Muon Neutrinos ◽  
Neutrino Mixing ◽  
Electron Neutrinos ◽  
Tau Neutrinos ◽  
The Matrix ◽  
Mixing Matrix ◽  
Unitary Triangle

Neutrinos are neutral leptons and there exist three types of neutrinos (electron neutrinos νe, muon neutrinos νµ and tau neutrinos ντ). These classifications are referred to as neutrinos’s “flavors”. Oscillations between the different flavors are known as neutrino oscillations, which occurs when neutrinos have mass and non-zero mixing. Neutrino mixing is governed by the PMNS mixing matrix. The PMNS mixing matrix is constructed as the product of three independent rotations. With that, we can describe the numerical parameters of the matrix in a graphical form called the unitary triangle, giving rise to CP violation. We can calculate the four parameters of the mixing matrix to draw the unitary triangle. The area of the triangle is a measure of the amount of CP violation.

scholarly journals Parametrization of Pontecorvo–Maki–Nakagawa–Sakata mixing matrix based on CP-violating bipair neutrino mixing

2015 ◽  
Vol 30 (05) ◽  
pp. 1550019 ◽  
Author(s):  
Jun Iizuka ◽  
Teruyuki Kitabayashi ◽  
Yuki Minagawa ◽  
Masaki Yasuè
Keyword(s):  
Matrix Element ◽  
Cp Violation ◽  
Numerical Computation ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Neutrino Interactions ◽  
Reactor Neutrino ◽  
Mixing Matrix ◽  
Three Phases

CP violation in neutrino interactions is described by three phases contained in Pontecorvo–Maki–Nakagawa–Sakata mixing matrix (U PMNS ). We argue that the phenomenologically consistent result of the Dirac CP violation can be obtained if U PMNS is constructed along bipair neutrino mixing scheme, namely, requiring that |U12| = |U32| and |U22| = |U23| (case 1) and |U12| = |U22| and |U32| = |U33| (case 2), where Uij stands for the i × j matrix element of U PMNS . As a result, the solar, atmospheric and reactor neutrino mixing angles θ12, θ23 and θ13, respectively, are correlated to satisfy cos 2θ12 = sin 2 θ23 - tan 2 θ13 (case 1) or cos 2θ12 = cos 2 θ23 - tan 2 θ13 (case 2). Furthermore, if Dirac CP violation is observed to be maximal, θ23 is determined by θ13 to be: [Formula: see text] (case 1) or [Formula: see text] (case 2). For the case of non-maximal Dirac CP violation, we perform numerical computation to show relations between the CP-violating Dirac phase and the mixing angles.

scholarly journals A minimal Beta Beam with high-Q ions to address CP violation in the leptonic sector

2011 ◽  
Vol 71 (6) ◽  
Author(s):  
P. Coloma ◽  
A. Donini ◽  
P. Migliozzi ◽  
L. Scotto Lavina ◽  
F. Terranova
Keyword(s):  
Cp Violation ◽  
High Q ◽  
Leptonic Sector ◽  
Beta Beam
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