Broken Supersymmetry Leaves Too Much: The Breaking Scale That the Observed Vacuum Density Would Require

Supersymmetry cancels the zero-point energies of bosons against those of fermions, but only while it is unbroken. This paper computes the residual vacuum density left by soft breaking at a scale M_S, using the stated rule rho = M_S^4/(16 pi^2), and finds the breaking scale that the observed density of 2.52 x 10^-47 GeV^4 would require: 7.94 x 10^-12 GeV, a few milli-electronvolts. Breaking at 1 TeV, the region indicated by collider searches, leaves a residual 2.51 x 10^56 times too large. Changing the normalisation of the rule by a factor of sixteen moves the required scale by less than a factor of two, so the conclusion is insensitive to that choice. All figures are computed from stated assumptions; nothing is measured.