The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6) (2507.14381v1)

Abstract: Exotic Invariants, with Lorentz invariance, have been found in the BRS cohomology of SUSY in 3+1 dimensions. Until recently, it was generally accepted that no such objects could exist. It is shown here that the Supersymmetric Standard Model (the SSM'') can be coupled to a special Exotic Invariant to form a new model, which we call the Exotic Model (the XM'') . This Exotic Model continues to generate the usual Vacuum Expectation Value (VEV'') that breaks gauge symmetry from SU(3) X SU(2) X U(1) to SU(3) X U(1) But now, from the same VEV, the Exotic Model also generates SUSY violating mass splitting of the neutralZX'' sector at tree level. This is possible because the Exotic Model changes the algebra of SUSY. This ``ZX'' sector is flavour neutral, which might explain the suppression of flavour changing neutral currents observed in experiments. The Exotic Model is governed by a very restrictive Master Equation, so there should be a very small number of parameters in it.