Can There Be a Fourth Generation of Charged Leptons in the Standard Model?

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Discussion Overview

The discussion centers around the possibility of a fourth generation of charged leptons within the Standard Model (SM) of particle physics. Participants explore the implications of having more than three generations, the experimental evidence surrounding this topic, and the theoretical frameworks that could accommodate additional particles.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions the existence of a heavier charged lepton and why the SM is limited to three generations of particles, which include charged leptons, neutrinos, and quarks.
  • Another participant cites strong experimental evidence against the existence of a fourth generation of light fermions, referencing the Z cross-section measurements at LEP and the constraints from B physics measurements, while noting that the SM does not definitively state the number of generations.
  • A different viewpoint suggests that the theoretical framework could allow for four generations, highlighting the appeal for model builders due to the mathematical properties of having 128 states, although acknowledging the existence of only three light neutrinos.
  • One participant introduces the idea of the neutrino 'puzzle' and mentions various speculative theories about additional, non-generational neutrinos that could exist, suggesting that while a complete fourth generation may be unlikely, other particles outside the generational framework could emerge.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of a fourth generation of charged leptons. While some point to experimental evidence suggesting limitations, others propose theoretical possibilities that remain speculative. The discussion does not reach a consensus on the existence of additional generations.

Contextual Notes

Limitations include the dependence on experimental data and theoretical models, as well as the unresolved nature of the neutrino 'puzzle' and the implications of non-generational particles.

Who May Find This Useful

This discussion may be of interest to those studying particle physics, particularly in the context of the Standard Model, theoretical physics, and the exploration of neutrino properties.

wedge
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here I come with a question, maybe stupid.
everyone knows about electrons, muons, taus. Is a heavier charged lepton impossible to exist? why does SM deal with three generation of particles (each consisting in a charged lepton, a neutrino plus two quarks), and not more?

thanks everyone.
 
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wedge said:
here I come with a question, maybe stupid.
everyone knows about electrons, muons, taus. Is a heavier charged lepton impossible to exist? why does SM deal with three generation of particles (each consisting in a charged lepton, a neutrino plus two quarks), and not more?

thanks everyone.

Hi Wedge,

There are strong experimental evidences against a fourth generation of (rather light) fermions :
- the Z cross-section measured at LEP prooves there are only 3 light neutrinos. Of course, it is still possible to have a fourth neutrino much more heavier or non-interacting with Z (but is it still a similar generation ?).
- the so-called "unitarity triangle" mainly cronstrained by B physics measurements is a triangle...
But, of course, nothing prooves there are 3 and only 3 generations. The SM tells nothing about the number of generations, this is an input of the model.
 
Giving that the number of states is N*32, four generations is a kind of paradise for model builders: you have 128 states, a exact power of 2, and then Clifford algebras have a big role.

But there are only 3 light neutrinos.
 
hello,
thank you so much for your answers :cool:
 
There's still the neutrino 'puzzle' - to which there have been numerous rather outlandish suggestions; check the latest (I think) Scientific American for the details. Among the proto-theories are additional, non-generational and even more weakly-interacting neutrinos. So, you're unlikely to come up with another complete generation, but it's not out of the question for particles that don't belong in any generation to come up.
 

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