Why must SUSY be broken?
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One usually claims that supersymmetry must be spontaneously broken. The reasoning is roughly the following:
Since M2=PμPμM2=PμPμ is a casimir operator of the supersymmetry algebra, all the particles in a supermultiplet will have the same mass. Therefore the electron and the selectron will have same mass, and we would be able to produce selectrons at the accelerators, which nowdays operate at an energy scale of 1 Tev>>me≈0.5 MeV1 Tev>>me≈0.5 MeV. But clearly no selectrons are ever seen at the MeVMeVscale.
The standard way to avoid this is to introduce some kind of supersymmetry breaking mechanism, of a similar kind of the Higgs mechanism in the standard model.
Since M2=PμPμM2=PμPμ is a casimir operator of the supersymmetry algebra, all the particles in a supermultiplet will have the same mass. Therefore the electron and the selectron will have same mass, and we would be able to produce selectrons at the accelerators, which nowdays operate at an energy scale of 1 Tev>>me≈0.5 MeV1 Tev>>me≈0.5 MeV. But clearly no selectrons are ever seen at the MeVMeVscale.
The standard way to avoid this is to introduce some kind of supersymmetry breaking mechanism, of a similar kind of the Higgs mechanism in the standard model.
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