Upper bound on gauge-fermion masses

Physics

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Broken Symmetry, Cosmology, Fermions, Gauge Theory, Particle Mass, Chiral Dynamics, Unified Field Theory, Yang-Mills Fields

Scientific paper

It is pointed out that because supersymmetry, if valid at all, is surely broken, it is in general not known how high the masses are in the region where the superpartners of known particles should be sought. It is shown that for a large class of broken supersymmetry theories, each massive gauge boson must be accompanied by a fermion with the same conserved quantum numbers, a mixture of superpartners of gauge bosons and chiral scalars that is lighter than (or nearly degenerate with) the gauge boson. In particular, there is a charged fermion, the lambda(+ or -), that is lighter than the W(+ or -) gauge bosons and hence should be readily produced in electron-positron colliding-beam accelerators, as well as a neutral fermion lighter than the Z(0) gauge bosons. The key assumption is that whatever it is that breaks supersymmetry, it does not affect the formulas for gauge-fermion masses in terms of scalar vacuum expectation values, except through small radiative corrections.

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