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Ad Lucem: QED parton distribution functions in the MMHT framework

Harland-Lang, L.A.; Martin, A.D.; Nathvani, R.; Thorne, R.S.

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L.A. Harland-Lang

A.D. Martin

R. Nathvani

R.S. Thorne


We present the MMHT2015qed PDF set, resulting from the inclusion of QED corrections to the existing set of MMHT Parton Distribution Functions (PDFs), and which contain the photon PDF of the proton. Adopting an input distribution from the LUXqed formulation, we discuss our methods of including QED effects for the full, coupled DGLAP evolution of all partons with QED at O(α) , O(ααS) , O(α2) . While we find consistency for the photon PDF of the proton with other recent sets, building on this we also present a set of QED corrected neutron PDFs and provide the photon PDF separated into its elastic and inelastic contributions. The effect of QED corrections on the other partons and the fit quality is investigated, and the sources of uncertainty for the photon are outlined. Finally we explore the phenomenological implications of this set, giving the partonic luminosities for both the elastic and inelastic contributions to the photon and the effect of our photon PDF on fits to high mass Drell–Yan production, including the photon-initiated channel.


Harland-Lang, L., Martin, A., Nathvani, R., & Thorne, R. (2019). Ad Lucem: QED parton distribution functions in the MMHT framework. The European Physical Journal C, 79(10), Article 811.

Journal Article Type Article
Acceptance Date Sep 2, 2019
Online Publication Date Oct 1, 2019
Publication Date Oct 31, 2019
Deposit Date Oct 11, 2019
Publicly Available Date Oct 11, 2019
Journal European Physical Journal C: Particles and Fields
Print ISSN 1434-6044
Electronic ISSN 1434-6052
Publisher SpringerOpen
Peer Reviewed Peer Reviewed
Volume 79
Issue 10
Article Number 811


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© The Author(s) 2019.<br /> This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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