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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.10028 |
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| _version_ | 1866910269863624704 |
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| author | Ghezal, Achwaq Delenda, Yazid Aouachria, Mekki |
| author_facet | Ghezal, Achwaq Delenda, Yazid Aouachria, Mekki |
| contents | We present a comprehensive calculation of the squared matrix elements for all partonic channels contributing to $W^\pm/Z$+jet production at hadron colliders within the framework of the non-commutative Standard Model (NCSM), including leptonic decays $W\to eν$ and $Z\to {μ^+μ^-}$. Our computation incorporates both $\mathcal{O}(Θ)$ corrections to the Standard Model vertices and additional interaction terms inherent to the NCSM. A key finding is that the production amplitudes receive first-order corrections at $\mathcal{O}(Θ)$, a distinctive feature compared to many other processes where non-commutative effects enter only at $\mathcal{O}(Θ^2)$. The leptonic decay widths, in contrast, are modified solely at $\mathcal{O}(Θ^2)$. This $\mathcal{O}(Θ)$ enhancement provides improved sensitivity to non-commutative geometry, allowing us to probe for and constrain the non-commutative energy scale in the multi-TeV range. We provide numerical predictions for angular (azimuthal and rapidity) distributions and the forward--backward asymmetry, and compare them to state-of-the-art Standard Model predictions at leading and next-to-leading order from the \texttt{MCFM} Monte Carlo program. Finally, we test the NCSM with experimental data by analyzing an unbinned, particle-level $Z$+jet dataset from the ATLAS experiment. From this data, we calculate the azimuthal spectrum and forward-backward asymmetry, which are then used to derive stringent lower bounds on the non-commutative scale $Λ$. Our analysis accounts for Earth rotation effects by treating the non-commutative tensor as fixed in a celestial frame and deriving time-averaged observables in the rotating detector frame. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10028 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constraining non-commutative geometry with W/Z+jet production at the LHC Ghezal, Achwaq Delenda, Yazid Aouachria, Mekki High Energy Physics - Phenomenology We present a comprehensive calculation of the squared matrix elements for all partonic channels contributing to $W^\pm/Z$+jet production at hadron colliders within the framework of the non-commutative Standard Model (NCSM), including leptonic decays $W\to eν$ and $Z\to {μ^+μ^-}$. Our computation incorporates both $\mathcal{O}(Θ)$ corrections to the Standard Model vertices and additional interaction terms inherent to the NCSM. A key finding is that the production amplitudes receive first-order corrections at $\mathcal{O}(Θ)$, a distinctive feature compared to many other processes where non-commutative effects enter only at $\mathcal{O}(Θ^2)$. The leptonic decay widths, in contrast, are modified solely at $\mathcal{O}(Θ^2)$. This $\mathcal{O}(Θ)$ enhancement provides improved sensitivity to non-commutative geometry, allowing us to probe for and constrain the non-commutative energy scale in the multi-TeV range. We provide numerical predictions for angular (azimuthal and rapidity) distributions and the forward--backward asymmetry, and compare them to state-of-the-art Standard Model predictions at leading and next-to-leading order from the \texttt{MCFM} Monte Carlo program. Finally, we test the NCSM with experimental data by analyzing an unbinned, particle-level $Z$+jet dataset from the ATLAS experiment. From this data, we calculate the azimuthal spectrum and forward-backward asymmetry, which are then used to derive stringent lower bounds on the non-commutative scale $Λ$. Our analysis accounts for Earth rotation effects by treating the non-commutative tensor as fixed in a celestial frame and deriving time-averaged observables in the rotating detector frame. |
| title | Constraining non-commutative geometry with W/Z+jet production at the LHC |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.10028 |