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Given the best-fit results of six neutrino oscillation parameters, we plot the Dirac and Majorana unitarity triangles (UTs) of the 3\times 3 lepton flavor mixing matrix to show their real shapes for the first time. The connections of the…

High Energy Physics - Phenomenology · Physics 2016-06-22 Zhi-zhong Xing , Jing-yu Zhu

If the massive neutrinos are the Majorana particles, how to pin down the Majorana CP-violating phases will eventually become an unavoidable question relevant to the future neutrino experiments. We argue that a study of neutrino-antineutrino…

High Energy Physics - Phenomenology · Physics 2013-04-03 Zhi-zhong Xing

Using the well established principles of Lorentz invariance, CP and CPT symmetry, and quantum statistics we do a model-independent study of effects of possible non-standard couplings of (Dirac and Majorana) neutrinos. The study is sensitive…

High Energy Physics - Phenomenology · Physics 2023-03-28 C. S. Kim , Janusz Rosiek , Dibyakrupa Sahoo

Nonzero neutrino masses imply the existence of degrees of freedom and interactions beyond those in the Standard Model. A powerful indicator of what these might be is the nature of the massive neutrinos: Dirac fermions versus Majorana…

High Energy Physics - Phenomenology · Physics 2021-08-12 André de Gouvêa , Patrick J. Fox , Boris J. Kayser , Kevin J. Kelly

We derive expressions for the neutrino mixing parameters that result from complex perturbations on (1) the Majorana neutrino mass matrix (in the basis of charged lepton mass eigenstates) and on (2) the charged lepton mass matrix, for…

High Energy Physics - Phenomenology · Physics 2015-10-07 Jiajun Liao , D. Marfatia , K. Whisnant

Electromagnetic properties of neutrinos, if ever observed, could help to decide the Dirac versus Majorana nature of neutrinos. We show that the magnetic moments of Majorana neutrinos have to fulfill triangle inequalities,…

High Energy Physics - Phenomenology · Physics 2015-09-10 Jean-Marie Frère , Julian Heeck , Simon Mollet

There are physical Majorana phases in the lepton flavor mixing matrix when neutrinos are Majorana fermions. In the case of two degenerate neutrinos, the physical Majorana phase plays the crucial role for the stability of the maximal flavor…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Haba , Y. Matsui , N. Okamura , M. Sugiura

Assuming three generations of Majorana neutrinos, we study the different mixing patterns that arise from the non-trivial breaking of the flavor group A5 and CP to the residual symmetries Z3, Z5 or Z2 x Z2 in the charged lepton and to Z2 x…

High Energy Physics - Phenomenology · Physics 2015-09-30 Andrea Di Iura , Claudia Hagedorn , Davide Meloni

We study the formation and evolution of topological defects that arise in the post-recombination phase transition predicted by the gravitational neutrino mass model in [Dvali, Funcke, Phys. Rev. D 93, 113002 (2016)]. In the transition,…

High Energy Physics - Phenomenology · Physics 2023-08-10 Gia Dvali , Lena Funcke , Tanmay Vachaspati

If neutrinos are Majorana fermions, the lepton mixing parameter space consists of six mixing parameters: three mixing angles and three CP-odd phases. A related issue concerns the physical range of the mixing parameters. What values should…

High Energy Physics - Phenomenology · Physics 2009-01-09 André de Gouvêa , James Jenkins

Finding out if neutrinos are Dirac or Majorana particles is known to be extremely difficult. This is generally believed to be due to the smallness of the neutrino mass compared to typical neutrino energies, and to the fact that in the limit…

High Energy Physics - Phenomenology · Physics 2024-12-24 Evgeny Akhmedov

A generalized connection between the quantum mechanical Bargmann invariants and the geometric phases was established for the Dirac fermions. We extend that formalism for the Majorana fermions by defining proper quantum mechanical ray and…

High Energy Physics - Phenomenology · Physics 2021-02-24 Rohan Pramanick , Swarup Sangiri , Utpal Sarkar

We present a scenario of neutrino masses and mixing angles. Each generation includes a sterile right handed neutrino in addition to the usual left handed one. We assume a hierarchy in their Dirac masses similar to, but much larger than the…

High Energy Physics - Phenomenology · Physics 2016-08-24 D. Ring

We study mixing of the Dirac neutrinos in the residual symmetries approach. The key difference from the Majorana case is that the Dirac mass matrix may have larger symmetries: $G_\nu=\mathbf{Z}_{n}$ with $n\geq3$. The symmetry group…

High Energy Physics - Phenomenology · Physics 2015-12-02 Arman Esmaili , Alexei Yu. Smirnov

Majorana CP violating phases coming from heavy right-handed Majorana mass matrices ($M_{RR}$) are considered to estimate the masses of neutrinos.The effects of phases on quasi-degenerate neutrinos mass matrix obeying $\mu$-$\tau$ symmetry…

High Energy Physics - Phenomenology · Physics 2023-11-28 Ng. K. Francis

We study the geometric phase (GP) in neutrino oscillation for both Dirac and Majorana neutrinos. We apply the kinematic generalization of the GP to quantum open systems that take into account the coupling to a dissipative environment. In…

High Energy Physics - Phenomenology · Physics 2013-10-01 J. Dajka , J. Syska , J. Łuczka

We systematically analyze the Dirac and the Majorana mass matrices in seesaw models with two heavy right-handed neutrinos. We perform thorough classification of the vanishing matrix elements which are compatible with the results from the…

High Energy Physics - Phenomenology · Physics 2009-02-20 Srubabati Goswami , Atsushi Watanabe

We discuss the neutrino flavor structures in the Occam's razor approach for the Dirac neutrino mass matrices. We assume that the charged lepton mass matrix takes a diagonal base, while the right-handed Majorana neutrino mass matrix is also…

High Energy Physics - Phenomenology · Physics 2016-11-03 Yusuke Shimizu , Yoshiyuki Tatsuta

In this study, we explore the scope of determining the neutrino nature in long-baseline neutrino oscillation experiments considering the effect of environmental decoherence in neutrino evolution. Assuming an open quantum system framework,…

High Energy Physics - Phenomenology · Physics 2025-06-06 Chinmay Bera , K. N. Deepthi

The neutrino masses and mixings indicated by current neutrino oscillation experiments suggest that the neutrino mass matrix possesses an approximate $\mu-\tau$ exchange symmetry. In this study, we explore the neutrino parameter space and…

High Energy Physics - Phenomenology · Physics 2016-07-01 Diana C. Rivera-Agudelo , Abdel Pérez-Lorenzana