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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.12456 |
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| _version_ | 1866915276482674688 |
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| author | Chakraborty, Kushal Kumar, Aakash Rudra, Arnab Yeole, Amey |
| author_facet | Chakraborty, Kushal Kumar, Aakash Rudra, Arnab Yeole, Amey |
| contents | We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any $D$ spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of $Spin(D-1)$ over the product of two irreducible spinor representations of $Spin(D-2)$. Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: $C,\, R,$ and $ T$. We found that in any $D=2m+1/2m$, the interacting theories of a single massive higher spin have a \enquote{$m$} mod $2$ (or $D$ mod $4$) classification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12456 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three point interaction of Dirac fermions with higher spin particles and discrete symmetries Chakraborty, Kushal Kumar, Aakash Rudra, Arnab Yeole, Amey High Energy Physics - Theory We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any $D$ spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of $Spin(D-1)$ over the product of two irreducible spinor representations of $Spin(D-2)$. Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: $C,\, R,$ and $ T$. We found that in any $D=2m+1/2m$, the interacting theories of a single massive higher spin have a \enquote{$m$} mod $2$ (or $D$ mod $4$) classification. |
| title | Three point interaction of Dirac fermions with higher spin particles and discrete symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.12456 |