Why people are still discussing the 4th generation models?

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The discussion centers on the theoretical necessity of the 4th generation of particles in the context of anomaly cancellation and multiplet completeness. While the 3rd generation is essential for anomaly cancellation, the 4th generation remains a topic of interest due to its theoretical allowance and potential contributions to physics, particularly in scenarios involving non-standard Higgs bosons. Experimental evidence suggests that 4th generation particles are likely too heavy and unstable for direct detection in colliders, yet they may still influence lower-energy processes through loop contributions. The ongoing research into the 4th generation highlights its relevance in advanced theoretical frameworks.

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3 generation is required for anomaly cancellation, then the 4th generation seems redundant. But there are still papers about the 4th generation, what is the reason?

Thanks
 
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Accidently said:
3 generation is required for anomaly cancellation ...
That's not quite true.

The completeness of the multiplet {electron, electron-neutrino, up-quark, down-quark} and the completeness of corresponding multiplets in all higher generations are required. So two generations with {electron, electron-neutrino, up, down} and {myon, myon-neutrino, strange, charm} are perfectly valid. What is ruled out due to anomaly cancellation is an incomplete multiplet, i.e. the situation we had about 20 years ago, namely {tau, tau-neutrino, *, bottom} where the * indicates the missing top.

There is no requirement for the second, third or forth generation; theoretically they are all unnecessary waste ;-) Already after the discovery of the muon Rabi asked "who ordered that?".

Accidently said:
But there are still papers about the 4th generation, what is the reason?
It's allowed theoretically, just as the 2nd and 3rd one.

I am not absolutely sure but I thought that a 4th generation is almost certainly ruled out experimentally (the 4th generation particles would be too heavy to be produced directly in colliders, they may by too instable to be detected directly, but they do contribute to loops even at lower energies therefore there are indirect indications regarding the number of generations).
 
tom.stoer said:
I am not absolutely sure but I thought that a 4th generation is almost certainly ruled out experimentally (the 4th generation particles would be too heavy to be produced directly in colliders, they may by too instable to be detected directly, but they do contribute to loops even at lower energies therefore there are indirect indications regarding the number of generations).

They are ruled out in most STANDARD scenarios, but dig a little deeper and they can come back! For example, they contribute to "oblique electroweak corrections" (the so called "S parameter" mainly), but if there is a non-standard Higgs boson, then that constraint goes out the window!
 
yes, I was referring to standard scenarios only; I can't say much about (e.g.) non-standard Higgs ...
 

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