Non-linear corrections to the derivative of nuclear reduced cross-section at small $x$ at a future electron-ion collider
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911281386094592 |
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| author | Boroun, G. R. |
| author_facet | Boroun, G. R. |
| contents | The determination of non-linear corrections to the nuclear distribution functions due to the HIJING parametrization within the framework of perturbative QCD, specifically the GLR-MQ equations, is discussed. We analyze the possibility of constraining the non-linear corrections present in distribution functions using the inclusive observables that will be measured in future electron-ion colliders (EIC and EICc). The results show that non-linear corrections play an important role in heavy nuclear reduced cross sections at low $x$ and low $Q^2$ values. We find that the non-linear corrections provide the correct behavior of the extracted nuclear cross sections and that our results align with data from the nCETQ15 parametrization group. We are currently discussing a satisfactory description of the non-linear corrections to the shadowing effect at small $x$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02459 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-linear corrections to the derivative of nuclear reduced cross-section at small $x$ at a future electron-ion collider Boroun, G. R. High Energy Physics - Phenomenology The determination of non-linear corrections to the nuclear distribution functions due to the HIJING parametrization within the framework of perturbative QCD, specifically the GLR-MQ equations, is discussed. We analyze the possibility of constraining the non-linear corrections present in distribution functions using the inclusive observables that will be measured in future electron-ion colliders (EIC and EICc). The results show that non-linear corrections play an important role in heavy nuclear reduced cross sections at low $x$ and low $Q^2$ values. We find that the non-linear corrections provide the correct behavior of the extracted nuclear cross sections and that our results align with data from the nCETQ15 parametrization group. We are currently discussing a satisfactory description of the non-linear corrections to the shadowing effect at small $x$. |
| title | Non-linear corrections to the derivative of nuclear reduced cross-section at small $x$ at a future electron-ion collider |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.02459 |