• Editors' Suggestion
  • Open Access

Approximate NNLO QCD corrections to semi-inclusive DIS

Maurizio Abele, Daniel de Florian, and Werner Vogelsang
Phys. Rev. D 104, 094046 – Published 29 November 2021

Abstract

We determine approximate next-to-next-to-leading order (NNLO) corrections to unpolarized and polarized semi-inclusive deep-inelastic scattering. They are derived using the threshold resummation formalism, which we fully develop to next-to-next-to-leading logarithmic accuracy, including the two-loop hard factor. The approximate NNLO terms are obtained by expansion of the resummed expression. They include all terms in Mellin space that are logarithmically enhanced at threshold, or that are constant. In terms of the customary semi-inclusive deep-inelastic scattering variables x and z they include all double distributions (that is, “plus” distributions and δ functions) in the partonic variables. We also investigate corrections that are suppressed at threshold and we determine the dominant terms among these. Our numerical estimates suggest much significance of the approximate NNLO terms, along with a reduction in scale dependence.

  • Figure
  • Figure
  • Figure
  • Received 4 September 2021
  • Accepted 21 October 2021

DOI:https://doi.org/10.1103/PhysRevD.104.094046

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

Maurizio Abele1, Daniel de Florian2, and Werner Vogelsang1

  • 1Institute for Theoretical Physics, Tübingen University, Auf der Morgenstelle 14, 72076 Tübingen, Germany
  • 2International Center for Advanced Studies (ICAS) and ICIFI, ECyT-UNSAM, Campus Miguelete, 25 de Mayo y Francia, (1650) Buenos Aires, Argentina

Article Text

Click to Expand

References

Click to Expand
Issue

Vol. 104, Iss. 9 — 1 November 2021

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×