Equivalence of two component spinor mechanism and four component spinor mechanism in top quark pair production
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909249814134784 |
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| author | Deo, Malvika Misra, Anuradha Subramaniam, Sharada Vinze, Radhika |
| author_facet | Deo, Malvika Misra, Anuradha Subramaniam, Sharada Vinze, Radhika |
| contents | In this article, we calculate the $S$-matrix elements for the process $e^{+} e^{-}\rightarrow t \bar{t}$ mediated by SM photon, $Z$ boson and an additional $Z^{'}$ boson indicating the contribution from new physics. We calculate the amplitude square using two component spinor formalism and four component spinor formalism and show the equivalence of the results using the two formalisms. We also establish the relations between the couplings of $Z^{'}$ boson to fermions in the two component spinor formalism and four component spinor formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07836 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivalence of two component spinor mechanism and four component spinor mechanism in top quark pair production Deo, Malvika Misra, Anuradha Subramaniam, Sharada Vinze, Radhika High Energy Physics - Phenomenology High Energy Physics - Theory In this article, we calculate the $S$-matrix elements for the process $e^{+} e^{-}\rightarrow t \bar{t}$ mediated by SM photon, $Z$ boson and an additional $Z^{'}$ boson indicating the contribution from new physics. We calculate the amplitude square using two component spinor formalism and four component spinor formalism and show the equivalence of the results using the two formalisms. We also establish the relations between the couplings of $Z^{'}$ boson to fermions in the two component spinor formalism and four component spinor formalism. |
| title | Equivalence of two component spinor mechanism and four component spinor mechanism in top quark pair production |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.07836 |