$τ$-lepton pair spin in proton-proton LHC collisions for anomalous dipole moments
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| Format: | Preprint |
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2024
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| _version_ | 1866912012290752512 |
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| author | Korchin, A. Yu. Richter-Was, E. Volkotrub, Yu. Was, Z. |
| author_facet | Korchin, A. Yu. Richter-Was, E. Volkotrub, Yu. Was, Z. |
| contents | The spin correlations in the pair of $τ$ leptons produced in the high-energy proton-proton collisions are studied. The invariant mass of the $τ$-lepton pair is chosen close to $Z$-boson mass, in these conditions $Z$-boson exchange gives the dominant contribution to the Drell-Yan mechanism. The interaction of $Z$ boson with $τ$ lepton, in addition to the Standard Model couplings, can include weak anomalous magnetic and electric dipole moments (or form-factors) of the $τ$ lepton. Dependence of elements of the $pp$ spin-correlation matrix on the weak anomalous moments is determined for various regions of the rapidity of the $τ$-lepton pair. Based on this calculation, we construct a semi-realistic observable built on the momenta of pions in the $τ^\mp \to π^\mp ν_τ$ and $τ^\pm \to ρ^\pm ν_τ\to π^\pm π^0 ν_τ$ decay channels, and show that this observable can be sensitive to the weak anomalous dipole moments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_17282 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $τ$-lepton pair spin in proton-proton LHC collisions for anomalous dipole moments Korchin, A. Yu. Richter-Was, E. Volkotrub, Yu. Was, Z. High Energy Physics - Phenomenology The spin correlations in the pair of $τ$ leptons produced in the high-energy proton-proton collisions are studied. The invariant mass of the $τ$-lepton pair is chosen close to $Z$-boson mass, in these conditions $Z$-boson exchange gives the dominant contribution to the Drell-Yan mechanism. The interaction of $Z$ boson with $τ$ lepton, in addition to the Standard Model couplings, can include weak anomalous magnetic and electric dipole moments (or form-factors) of the $τ$ lepton. Dependence of elements of the $pp$ spin-correlation matrix on the weak anomalous moments is determined for various regions of the rapidity of the $τ$-lepton pair. Based on this calculation, we construct a semi-realistic observable built on the momenta of pions in the $τ^\mp \to π^\mp ν_τ$ and $τ^\pm \to ρ^\pm ν_τ\to π^\pm π^0 ν_τ$ decay channels, and show that this observable can be sensitive to the weak anomalous dipole moments. |
| title | $τ$-lepton pair spin in proton-proton LHC collisions for anomalous dipole moments |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.17282 |