Using analytic models to describe effective PDFs
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917742682046464 |
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| author | Ochoa-Oregon, Salvador A. Rentería-Estrada, David F. Hernández-Pinto, Roger J. Sborlini, German F. R. Zurita, Pia |
| author_facet | Ochoa-Oregon, Salvador A. Rentería-Estrada, David F. Hernández-Pinto, Roger J. Sborlini, German F. R. Zurita, Pia |
| contents | Parton distribution functions play a pivotal role in hadron collider phenomenology. They are non-perturbative quantities extracted from fits to available data, and their scale dependence is dictated by the DGLAP evolution equations. In this article, we discuss machine-assisted strategies to efficiently compute PDFs directly incorporating the scale evolution without the need of separately solving DGLAP equations. Analytical approximations to the PDFs as a function of $x$ and $Q^2$, including up to next-to-leading order effects in Quantum Chromodynamics, are obtained. The methodology is tested by reproducing the $\texttt{HERAPDF2.0}$ set and implementing the analytical expressions in benchmarking codes. It is found that the computational cost is reduced while the precision of the simulations stays well under control. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_15175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Using analytic models to describe effective PDFs Ochoa-Oregon, Salvador A. Rentería-Estrada, David F. Hernández-Pinto, Roger J. Sborlini, German F. R. Zurita, Pia High Energy Physics - Phenomenology High Energy Physics - Theory Parton distribution functions play a pivotal role in hadron collider phenomenology. They are non-perturbative quantities extracted from fits to available data, and their scale dependence is dictated by the DGLAP evolution equations. In this article, we discuss machine-assisted strategies to efficiently compute PDFs directly incorporating the scale evolution without the need of separately solving DGLAP equations. Analytical approximations to the PDFs as a function of $x$ and $Q^2$, including up to next-to-leading order effects in Quantum Chromodynamics, are obtained. The methodology is tested by reproducing the $\texttt{HERAPDF2.0}$ set and implementing the analytical expressions in benchmarking codes. It is found that the computational cost is reduced while the precision of the simulations stays well under control. |
| title | Using analytic models to describe effective PDFs |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.15175 |