The Standard Model correctly describes all interactions at (and below) the electroweak scale. However it does not explain the peculiar pattern of quark, lepton and neutrino masses. Also charge quantization is not understood. These are well known motivations to go beyond the Standard Model and to build a Grand Unified Theory. This extension has several good predictions but the proton lifetime is huge compared to similar weak decays. This hierarchy problem suggests two possible extensions of the standard quantum field theory: A non linear version of the Schroedinger functional equation and Third Quantization.
Neutrinos, grand unified theories and the hierarchy problem / F. Caravaglios - In: Les rencontres de physique de la Vallée d’Aoste : results and perspectives in particle physics : La Thuile, Aosta Valley, February 24-March 1, 2008 / [a cura di] M. Greco. - Frascati : Istituto nazionale di fisica nucleare, Laboratori nazionali di Frascati, 2008. - ISBN 978-88-86409-56-8. - pp. 175-190 (( convegno Les rencontres de physique de la Vallee d'Aoste : results and perspectives in particle physics tenutosi a La Thuile nel 2008.
Neutrinos, grand unified theories and the hierarchy problem
F. CaravagliosPrimo
2008
Abstract
The Standard Model correctly describes all interactions at (and below) the electroweak scale. However it does not explain the peculiar pattern of quark, lepton and neutrino masses. Also charge quantization is not understood. These are well known motivations to go beyond the Standard Model and to build a Grand Unified Theory. This extension has several good predictions but the proton lifetime is huge compared to similar weak decays. This hierarchy problem suggests two possible extensions of the standard quantum field theory: A non linear version of the Schroedinger functional equation and Third Quantization.
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