Abstract
We investigate the nature of the dark matter by proposing a mechanism for the breaking of local rotational symmetry between ordinary third family leptons and proposed non-regular leptons at energy scales below 10 TeV. This symmetry breaking mechanism involves electric charge swap between ordinary families of leptons can and produces highly massive non-regular leptons of order O (1 TeV) mass unobservable at energy scales below 10 TeV (the scale of LEP I, II and neutrino oscillation experiments). Electric charge swap between ordinary families of leptons produces heavy neutral non-regular leptons with order O (1 TeV) masses, which may form cold dark matter. The existence of these proposed leptons can be tested once the Large Hadron Collider (LHC) becomes operative at 10 TeV energy-scales. This proposition may have far reaching applications in astrophysics and cosmology.
Highlights
The nature of dark matter, proposed in 1933 to explain why galaxies in some clusters move faster than their predicted speed if they contained only baryonic matter [1], remains one of the open questions of modern physics
We investigate the possibility that a neutral non-regular lepton, of mass 1784 MeV, and a charged non-regular lepton, of mass 35 MeV exists in six-dimensional space-time
Singleton [73], we address both outstanding issues by introducing a coupling between non-regular leptons and the bulk scalar field 0 ( x A ) ( (x A) ) (with dimensions2) by adding to the action an interaction term of the form: S int
Summary
The nature of dark matter, proposed in 1933 to explain why galaxies in some clusters move faster than their predicted speed if they contained only baryonic matter [1], remains one of the open questions of modern physics. By equation (62) we conclude that the contribution of ECS leptons at the current LHC collision energy scale (Ms≈7TeV) [52] and LEP. measurements of cross-section for electronpositron annihilation [50], [51] is too small to be detected. Which is too small to be detected by this experiment ([51,52,53,54,55,56,57]) For this reason, neither the current LHC [52, 48,49] collision scale of energy, nor the LEP2 measurements of the cross-section for electron-positron annihilation [50], [51] and of anomalous magnetic moments of the electron and muon [50], [51] can prove the existence of the proposed ECS lepton (35 MeV). These propositions, and the predicted level of the standard model (SM) loop corrections, can only be tested at a higher energy linear collider with high integrated luminosity >>> 50 fb−1, such as the LHC
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