A limit on top quark pair production at future electron-proton colliders
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915811010019328 |
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| author | Boroun, G. R. |
| author_facet | Boroun, G. R. |
| contents | The ratio of the structure functions for deep inelastic scattering in top pair production at future electron-proton colliders is analyzed at a fixed $\sqrt{s}$ and $Q^2$ relative to the minimum value of $x$ given by $Q^2/s$ using collinear factorization. This compact formula for the ratio $F_{L2}(Q^2/s,Q^2,m_{t})$ is useful for extracting a bound on the top structure function. The reduced cross-section for top production at this limit is determined, establishing a bound value for $t\overline{t}$ production at the LHeC and FCC-eh center-of-mass energies based on renormalization scales. The modification of the Bjorken scaling is applied to this bound of the reduced top cross-section at the renormalization scale $μ^2=Q^2+4m_{t}^{2}$, which improves the scaling quantity at $Q^2{<}4m_{t}^{2}$. The dipole cross-section for top pair production is examined across a wide range of dipole sizes, denoted as $r$. It is expected that there will be limited behavior in observing top saturation in future electron-proton colliders according to the bound behavior. The probability of the Higgs boson in $γ^{*}g$ interactions is compared to the $gg$ process at the order of $\mathcal{O}(α^{\mathrm{em}}/α_{s})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18809 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A limit on top quark pair production at future electron-proton colliders Boroun, G. R. High Energy Physics - Phenomenology The ratio of the structure functions for deep inelastic scattering in top pair production at future electron-proton colliders is analyzed at a fixed $\sqrt{s}$ and $Q^2$ relative to the minimum value of $x$ given by $Q^2/s$ using collinear factorization. This compact formula for the ratio $F_{L2}(Q^2/s,Q^2,m_{t})$ is useful for extracting a bound on the top structure function. The reduced cross-section for top production at this limit is determined, establishing a bound value for $t\overline{t}$ production at the LHeC and FCC-eh center-of-mass energies based on renormalization scales. The modification of the Bjorken scaling is applied to this bound of the reduced top cross-section at the renormalization scale $μ^2=Q^2+4m_{t}^{2}$, which improves the scaling quantity at $Q^2{<}4m_{t}^{2}$. The dipole cross-section for top pair production is examined across a wide range of dipole sizes, denoted as $r$. It is expected that there will be limited behavior in observing top saturation in future electron-proton colliders according to the bound behavior. The probability of the Higgs boson in $γ^{*}g$ interactions is compared to the $gg$ process at the order of $\mathcal{O}(α^{\mathrm{em}}/α_{s})$. |
| title | A limit on top quark pair production at future electron-proton colliders |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.18809 |