|Apr16-12, 10:57 AM||#1|
Loop-level corrections to the neutrino mass
Quick question. In the SM, why can't we have loop-level interactions that give neutrinos their small masses?
(It seems like we must also have Majorana neutrinos)
|Apr16-12, 09:48 PM||#2|
Giving neutrinos a Dirac mass requires there to be right-handed neutrinos and giving them Majorana masses requires a source of explicit lepton number violation. The standard model has neither of these*; so, it can't generate any sort of neutrino masses.
*Well, strictly, the SM does have non-perturbative lepton number violation; but, only with a compensating violation of baryon number that leaves B-L conserved. Majorana mass requires that this be broken as well.
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