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Combining QED and Approximate N${}^3$LO QCD Corrections in a Global PDF Fit: MSHT20qed_an3lo PDFs

by T. Cridge, L. A. Harland-Lang, R. S. Thorne

Submission summary

Authors (as registered SciPost users): Lucian Harland-Lang
Submission information
Preprint Link: scipost_202404_00041v1  (pdf)
Date submitted: 2024-04-25 15:59
Submitted by: Harland-Lang, Lucian
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Phenomenology
Approach: Phenomenological

Abstract

We present the MSHT20qed_an3lo parton distribution functions (PDFs). These result from the first global PDF analysis to combine QED and approximate N${}^3$LO (aN${}^3$LO) QCD corrections in the theoretical calculation of the PDF evolution and cross sections entering the fit. We examine the PDF impact, and find that the effect of QED is relatively mild in comparison to the aN${}^3$LO corrections, although it should still be accounted for at the level of precision now required. These QED corrections are in addition found to roughly factorise from the QCD corrections; that is, their relative impact on the PDFs is roughly the same at NNLO and aN${}^3$LO. The fit quality exhibits a very small deterioration at aN${}^3$LO upon the inclusion of QED corrections, which is rather smaller than the deterioration observed at NNLO in QCD. The impact on several cross sections at N${}^3$LO is also examined, including the Higgs cross section via gluon fusion at N${}^3$LO. Finally, a LO in QCD fit that includes QED corrections is also presented: the MSHT20qed_lo set.

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Author comments upon resubmission

Resubmitted to account for referee comments

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Anonymous Report 1 on 2024-4-30 (Invited Report)

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I am satisfied with the reply from the authors. I am happy to see the comparison I asked for in Fig. 3, which looks interesting. I thank the authors for their effort. I recommend this manuscript in its current status for publication.

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