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Recently, there has been interest in the applicability of quantum statistics to distinguish Dirac from Majorana neutrinos in multi-neutrino final states. In particular, debate has arisen over the validity of the Dirac-Majorana confusion…

High Energy Physics - Phenomenology · Physics 2025-07-11 Innes Bigaran , Stephen J. Parke , Pedro Pasquini

In a recent article arXiv:2402.05172 [hep-ph], the authors discuss the question "whether quantum statistics can help distinguish between Dirac and Majorana neutrinos." The paper contains, among other things, an unsubstantiated critique of…

High Energy Physics - Phenomenology · Physics 2024-03-08 C. S. Kim , M. V. N. Murthy , Dibyakrupa Sahoo

We discuss the possibility to distinguish between Dirac and Majorana neutrinos in the context of the minimal gauge theory for neutrino masses, the B-L gauge extension of the Standard Model. We revisit the possibility to observe lepton…

High Energy Physics - Phenomenology · Physics 2020-07-22 Pavel Fileviez Perez , Alexis D. Plascencia

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

(abridged) The physical mechanisms that make a neutrino with standard-model (SM) weak interactions a "lepton-number conservation (LNC) violating" neutrino such as the Majorana neutrino are analysed in a basis of two Majorana states that…

High Energy Physics - Phenomenology · Physics 2012-12-17 R. Plaga

The excellent experimental prospects to measure the invisible mass spectrum of the $K^+\to\pi^+\nu\bar\nu$ decay opens a new path to test generalised quark--neutrino interactions with flavour changing $s\to d$ transitions and as such to…

High Energy Physics - Phenomenology · Physics 2024-07-03 Martin Gorbahn , Ulserik Moldanazarova , Kai Henryk Sieja , Emmanuel Stamou , Mustafa Tabet

We inspect the model-independent study of practical Dirac Majorana confusion theorem (pDMCT) -- a wide spread belief that the difference between Dirac and Majorana neutrinos via any kinematical observable would be practically impossible to…

High Energy Physics - Phenomenology · Physics 2024-08-27 C. S. Kim

Neutrinos are the only known elementary fermions that can exhibit Majorana nature. As per the "practical Dirac-Majorana confusion theorem" it is impossible to distinguish between Dirac and Majorana neutrinos via any kinematic tests when…

High Energy Physics - Phenomenology · Physics 2017-10-05 C. S. Kim , Dibyakrupa Sahoo

Recently, there has been a growing interest in extensions of the Standard Model in which naturally small Dirac neutrino masses arise due to existence of a symmetry which protects neutrino's Diracness. Motivated by this, we consider an…

High Energy Physics - Phenomenology · Physics 2019-12-11 S. S. Correia , R. G. Felipe , F. R. Joaquim

Finding out if neutrinos are Dirac or Majorana particles is known to be extremely difficult due to the smallness of neutrino mass and the fact that in the limit $m_\nu=0$ both Dirac and Majorana neutrinos become Weyl particles, i.e. are…

High Energy Physics - Phenomenology · Physics 2024-03-04 Evgeny Akhmedov , Andreas Trautner

The nature of a neutrino, whether it is a Dirac type or Majorana type, may be comprehensively probed using their quantum statistical properties. If the neutrino is a Majorana fermion, then by definition it is identical and indistinguishable…

High Energy Physics - Phenomenology · Physics 2022-07-05 C. S. Kim , M. V. N. Murthy , Dibyakrupa Sahoo

We investigate purely leptonic decays of leptons $\l^{\prime-}\to l^-\bar{\nu}_l\nu_{l^{\prime}}$ to distinguish Dirac or Majorana neutrinos. We derive the differences of the decay width (and associated quantities) between the two neutrino…

High Energy Physics - Phenomenology · Physics 2022-05-24 Yao Yu , Bai-Cian Ke

We ask the question whether neutrino physics with momentum space Majorana spinors, the eigenvectors of the particle--antiparticle conjugation operator, C=i\gamma_2 K (with K standing for complex conjugation), is different but physics with…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Kirchbach , C. Compean , L. Noriega

The seesaw mechanism explains the exclusive smallness of neutrino masses by the presence of very heavy Majorana masses and leads to the appearance of Majorana particles and to the direct lepton number violation. The author proposes a seesaw…

High Energy Physics - Phenomenology · Physics 2020-04-07 Igor T. Dyatlov

The problem if existing neutrinos are Dirac or Majorana particles is considered in a very pedagogical way. After a few historical remarks we recall the theoretical description of neutral spin 1/2 particles, emphasizing the difference…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. Zralek

We show a nice symmetric/antisymmetric relation between the four vector Lorentz transformation and the Dirac spinor one in the Majorana representation. From the spinor one, we exhibit the antisymmetric pending of the symmetric Minkowski…

General Physics · Physics 2023-04-10 Guy Barrand

The minimally extended standard model of particle physics contains three right handed or sterile neutrinos, coupled to the active ones by a Dirac mass matrix and mutually by a Majorana mass matrix. In the pseudo-Dirac case, the Majorana…

General Physics · Physics 2019-08-20 T. M. Nieuwenhuizen

In this thesis I discuss in some detail the possibility that neutrinos are Dirac. If this is indeed the case, some extra symmetries beyond the Standard Model gauge group need to be enforced in order to protect Diracness and the smallness of…

High Energy Physics - Phenomenology · Physics 2021-11-01 Salvador Centelles Chuliá

Dirac Hamiltonian is scaled in the atomic units $\hbar =m=1$, which allows us to take the non-relativistic limit by setting the Compton wavelength $% \lambda \rightarrow 0 $. The evolutions of the spin and pseudospin symmetries towards the…

Nuclear Theory · Physics 2015-06-05 Shou-Wan Chen , Jian-You Guo

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
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