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Neutrino mass: From LHC to grand unification

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La Rivista del Nuovo Cimento Aims and scope

Summary

The tiny neutrino masses and the associated large lepton mixings provide an interesting puzzle and a likely window to the physics beyond the standard model. This is certainly true if neutrinos are Majorana particles, since then, unlike in the Dirac case, the standard model is not a complete theory. The Majorana case leads to lepton number violation manifested through neutrinoless-double-beta decay and same-sign dileptons potentially accessible to colliders such as the LHC. This is covered at length. I discuss in these lectures possible theories of neutrino mass whose predictions are dictated by their structure only and this points strongly to grand unification. I cover in detail both SU(5) and SO(10) grand unified theories, and study the predictions of their minimal versions. The main message I wish to bring across is a serious hope of probing the origin of neutrino mass in near future, through the combined effort of high-energy collider and low-energy lepton number and lepton flavor violation experiments.

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Updated reproduction from Proceedings of the International School of Physics “Enrico Fermi”, Course CLXX “Measurements of Neutrino Mass”, edited by F. Ferroni, F. Vissani and C. Brofferio (IOS Press, Amsterdam and SIF, Bologna) 2009, pp. 269–322.

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Senjanović, G. Neutrino mass: From LHC to grand unification. Riv. Nuovo Cim. 34, 1–68 (2011). https://doi.org/10.1393/ncr/i2011-10061-8

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