Understanding the Mass of the Higgs Triplet in Neutrino Mass Mechanism

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SUMMARY

The discussion centers on the mass of the Higgs triplet, denoted as MΔ, within the context of the Type-II seesaw mechanism for neutrino mass generation. Participants clarify that MΔ refers to the mass of the entire Higgs triplet Δ=(Δ++,Δ+,Δ°) rather than individual component masses. The distinction is made between the triplet mass and the masses of its components, highlighting the complexity of mass definitions in SU(2)L representations. Understanding this concept is crucial for grasping the underlying physics of neutrino mass mechanisms.

PREREQUISITES
  • Familiarity with the Type-II seesaw mechanism in neutrino physics
  • Understanding of SU(2)L gauge symmetry and its representations
  • Knowledge of scalar fields and their roles in particle physics
  • Basic concepts of mass generation in the Standard Model
NEXT STEPS
  • Study the Type-II seesaw mechanism in detail, focusing on its implications for neutrino masses
  • Explore the properties and implications of SU(2)L triplets and doublets in particle physics
  • Investigate the role of Higgs triplets in various beyond-the-Standard-Model theories
  • Review literature on scalar field theory and mass definitions in quantum field theory
USEFUL FOR

This discussion is beneficial for theoretical physicists, particle physicists, and graduate students focusing on neutrino mass mechanisms and the Higgs sector of the Standard Model.

chym
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Hi,
I would like to understand what is the MΔ which appears in the neutrino mass mechanism with Type-II seesaw. It seems to be the Higgs triplet mass. But I do not understand what is (physically) the masse of this triplet when we define it with 3 components : Δ=(Δ++,Δ+,Δ°). It is different from the Δ° mass ?
Thanks
 
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Unless you provide us with a reference where your notation is introduced, how do you expect anyone to answer this question?
 
You are right. But my question can be reformulated.
In some theories (see saw II or III), we assume the existence of a scalar SU(2)L triplet defined by Δ=(Δ++,Δ+,Δ°) (=Higgs triplet) or new fermionic SU(2) triplet Σ=(Σ+,Σ°,Σ-). In such models, we refer on the mass of the triplet mΔ or mΣ. My question is that I do not understand how we can speak about the triplet mass (and not about each of its component mass). For comparison, in SU(2)L doublet ψ=(ν,e-) we always refer either on the neutrino mass or electron mass and not on a "mψ" doublet mass. So this triplet mass term (mΣ or mΔ) is difficult for me to understand. Could you help me ?
 

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