The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6)
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909696277872640 |
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| author | Dixon, John A. |
| author_facet | Dixon, John A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6) Dixon, John A. High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | The Supersymmetric Standard Model, combined with a special Exotic Invariant, yields a new kind of SUSY mass splitting (E6) |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.14381 |