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

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 neutral ``ZX'' 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.

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Publication Details

Journal
ArXiv.org
Published
2025-07-18
Primary Topic
Black Holes and Theoretical Physics
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article
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article

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

John A. Dixon
ArXiv.org
Black Holes and Theoretical Physics
article

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

John A. Dixon
article en

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 neutral ``ZX'' 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.

ArXiv.org
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Black Holes and Theoretical Physics
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The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6) — John A. Dixon · ArXiv.org (2025) | TGRS Research Map | TGRS