Abstract

Study of neutrino properties is nowadays one of the most active domains of research in physics. On the one hand, fundamental properties of the neutrinos like their absolute mass, their character (are they Dirac or Majorana particles?) and the number of neutrino flavors, are still unknown. On the other hand, the knowledge of these properties are of great importance since the neutrinos are very abundant in nature and play a key role in nuclear and particle physics, astrophysics and cosmology. In addition, the results of the neutrino oscillation experiments have convincingly showed that neutrinos have mass and mix, in contradiction to the initial assumptions of the Standard Model. In this context there is an increased interest in the study of the Lepton Number Violating (LNV) processes, since they are capable to decide on the above mentioned neutrino properties. Since recently, the neutrinoless double beta (0nββ) decay was considered the only process able to distinguish between Dirac or Majorana neutrinos and to give a hint on the absolute mass of the electron neutrino. At present, the increased luminosity of the LHC experiments at CERN makes it feasable the search for LNV processes at LHC as well. Besides the neutrino character, these studies can also shed light on the existence of other types of neutrinos (the sterile neutrinos), than the three known ones. In this paper, I make a brief review on our present knowledge about the neutrino properties and on the way they can be probed by LNV processes at low- and high-energies. Particularly, I refer to the 0nββ decay process and to the first attempts of searching of LNV processes in hadron collider experiments, particularly in LHC experiments at CERN-Geneva.

Highlights

  • Results of the neutrino oscillation experiments have convincingly showed that neutrinos have mass and can oscillate from one flavor to another

  • In the following we show how the neutrino mass parameter can be extracted in the case that one mechanism is responsible for the occurrence of 0νββ decay

  • Recent neutrino oscillation experiments have convincingly shown that neutrinos are massive particles and they mix

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Summary

Introduction

Results of the neutrino oscillation experiments have convincingly showed that neutrinos have mass and can oscillate from one flavor to another. Fundamental properties of the neutrinos as their absolute mass, their character (are they non-identical (Dirac particles) or identical (Majorana particles) with their anti-particles?), the number of neutrino flavors, the mechanism of their mass generation and their mass hierarchy, are still unknown The knowledge of these properties is of fundamental importance for understanding the formation, composition and evolution of the universe, as well as for all the processes in which the neutrinos take part. The increased luminosity of the LHC experiments at CERN makes it feasable the searching of LNV processes at LHC experiments, as well They can bring complementary information to that which can be extracted from low-energy neutrino studies. The paper ends up with Section Conclusions, where I sum up the importance of the study of these LNV processes and I sketch some future prospects

Neutrino Properties
Lepton Number Violating Processes at Low-Energy
Lepton Number Niolating Processes at High-Energies
Conclusions
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