4 Jul 2024 | The NNPDF Collaboration: Richard D. Ball¹, Andrea Barontini², Alessandro Cando²³, Stefano Carrazza², Juan Cruz-Martinez³, Luigi Del Debbo¹, Stefano Forte², Tommaso Giani⁴⁵, Felix Hekhorn²⁶⁷, Zahari Kassabov⁸, Niccolò Laurenti², Giacomo Magni⁴⁵, Emanuele R. Nocera⁹, Tanjona R. Rabemananjara⁴⁵, Juan Rojo⁴⁵, Christopher Schwan¹⁰, Roy Stegeman¹, and Maria Ubiali⁸
The NNPDF Collaboration has constructed a set of parton distribution functions (PDFs) based on the NNPDF4.0 PDF set, including a photon PDF. The photon PDF is determined using the LuxQED formalism, and QED evolution is implemented up to $\mathcal{O}(\alpha\alpha_s)$ and $\mathcal{O}(\alpha^2)$ corrections. The results are benchmarked using the EKO code. The impact of QED effects on NNPDF4.0 is investigated, and the results are compared to previous NNPDF3.1QED PDFs and other recent PDF sets that include the photon. The study assesses the impact of photon-initiated processes and electroweak corrections on various LHC processes, finding that they can reach the 5% level in vector boson pair production at large invariant mass.
The photon PDF is constructed using the LuxQED formalism, which allows for the perturbative determination of the photon PDF from the proton structure functions. The photon PDF is then evolved together with other PDFs to the initial scale $Q_0 = 1.65~GeV$. The quark and gluon PDFs are re-determined while including the photon PDF as a boundary condition. The process is iterated until convergence.
The NNPDF4.0QED PDFs are compared to the previous NNPDF3.1QED PDFs and other recent QED PDF sets. The photon PDF is found to be consistent with previous studies, with results agreeing at the percent level. The photon PDF is determined using the LuxQED formalism, and the results are consistent with the experimental data. The photon PDF is found to have a small but non-negligible impact on the gluon PDF, and photon-initiated contributions are most important for high-mass processes such as neutral-current Drell–Yan production.
The implications for LHC phenomenology are studied by comparing parton luminosities and physics processes. The results show that the inclusion of QED corrections is important for precision phenomenology at the percent level, even in cases where the photon-induced contribution is negligible. The study concludes that the inclusion of QED corrections is essential for accurate predictions, and the NNPDF4.0QED PDF sets are made publicly available via the LHAPDF6 interface.The NNPDF Collaboration has constructed a set of parton distribution functions (PDFs) based on the NNPDF4.0 PDF set, including a photon PDF. The photon PDF is determined using the LuxQED formalism, and QED evolution is implemented up to $\mathcal{O}(\alpha\alpha_s)$ and $\mathcal{O}(\alpha^2)$ corrections. The results are benchmarked using the EKO code. The impact of QED effects on NNPDF4.0 is investigated, and the results are compared to previous NNPDF3.1QED PDFs and other recent PDF sets that include the photon. The study assesses the impact of photon-initiated processes and electroweak corrections on various LHC processes, finding that they can reach the 5% level in vector boson pair production at large invariant mass.
The photon PDF is constructed using the LuxQED formalism, which allows for the perturbative determination of the photon PDF from the proton structure functions. The photon PDF is then evolved together with other PDFs to the initial scale $Q_0 = 1.65~GeV$. The quark and gluon PDFs are re-determined while including the photon PDF as a boundary condition. The process is iterated until convergence.
The NNPDF4.0QED PDFs are compared to the previous NNPDF3.1QED PDFs and other recent QED PDF sets. The photon PDF is found to be consistent with previous studies, with results agreeing at the percent level. The photon PDF is determined using the LuxQED formalism, and the results are consistent with the experimental data. The photon PDF is found to have a small but non-negligible impact on the gluon PDF, and photon-initiated contributions are most important for high-mass processes such as neutral-current Drell–Yan production.
The implications for LHC phenomenology are studied by comparing parton luminosities and physics processes. The results show that the inclusion of QED corrections is important for precision phenomenology at the percent level, even in cases where the photon-induced contribution is negligible. The study concludes that the inclusion of QED corrections is essential for accurate predictions, and the NNPDF4.0QED PDF sets are made publicly available via the LHAPDF6 interface.