Loop-level corrections to the neutrino mass

In summary, the standard model does not have the necessary ingredients to generate neutrino masses, including right-handed neutrinos and explicit lepton number violation. Without these, it is impossible to give neutrinos either Dirac or Majorana masses.
  • #1
ryanwilk
57
0
Hi,

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)Thanks.
 
Last edited:
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  • #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.
 

Related to Loop-level corrections to the neutrino mass

1. What are loop-level corrections to the neutrino mass?

Loop-level corrections refer to quantum corrections to the mass of a particle, such as the neutrino. These corrections arise from virtual particle interactions that occur at the quantum level, and can affect the observed mass of the neutrino.

2. How do loop-level corrections affect the neutrino mass?

Loop-level corrections can either increase or decrease the observed mass of the neutrino, depending on the specific interactions taking place. These corrections are typically small in magnitude, but can still have a significant impact on the overall mass of the neutrino.

3. Are loop-level corrections important in understanding the properties of neutrinos?

Yes, loop-level corrections are important in understanding the properties of neutrinos. They can provide insight into the underlying quantum interactions that govern the behavior of these particles, and can also help refine our understanding of their mass and other properties.

4. Can loop-level corrections be measured or observed?

Loop-level corrections themselves cannot be directly measured or observed, as they involve virtual particles that do not exist in the physical world. However, their effects on the observed mass of the neutrino can be measured through experiments and calculations.

5. How do scientists account for loop-level corrections in their research on neutrino mass?

Scientists take into account loop-level corrections by using theoretical models and calculations to estimate their effects on the neutrino mass. These corrections are also factored into experimental data and results to ensure accurate measurements of the neutrino mass.

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