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New 2- and 3-loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering

by Jakob Ablinger, Johannes Blümlein, Abilio De Freitas, Marco Saragnese, Carsten Schneider, Kay Schoenwald

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Submission summary

Authors (as registered SciPost users): Kay Schoenwald
Submission information
Preprint Link: scipost_202107_00033v1  (pdf)
Date submitted: 2021-07-20 15:19
Submitted by: Schoenwald, Kay
Submitted to: SciPost Physics Proceedings
Proceedings issue: 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021)
Ontological classification
Academic field: Physics
  • High-Energy Physics - Phenomenology


A survey is given on the new 2– and 3–loop results for the heavy flavor contributions to deep–inelastic scattering in the unpolarized and the polarized case. We also discuss related new mathematical aspects applied in these calculations.

Current status:
Has been resubmitted

Reports on this Submission

Anonymous Report 1 on 2022-3-1 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202107_00033v1, delivered 2022-03-01, doi: 10.21468/SciPost.Report.4599


Good results. The report requires improvements.

Suggested changes:
1. Adding further details in the abstract (from the conclusion).
2. Citation numbers are out of order.
3. Restructure the last few paragraphs of Sec. 1.
4. The report should be proofread by a native English speaker before publishing.
5. Fig 2, the contrast between dark green and black is not distinct.
6. Inconsistent use of two–mass and 2-mass.
7. Fig4, please define and explain N^3LO
8. What is the initial value for Q^2_0?
9. Fig 3, caption, the end of line #1: sigma (x, Q , need to be corrected.
10. Suggest including a diagram demonstrating: single mass and two mass interactions for both 2- and 3-loop contributions.
11. Fig 3 makes sense, but why is the y scale (ratio of the 2mass contribution and structure-functions) negative? Especially, the unit is in %.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Author:  Kay Schoenwald  on 2022-03-03  [id 2262]

(in reply to Report 1 on 2022-03-01)
answer to question
reply to objection

  1. We do not think the abstract needs to be extended, since it is fully clear.
  2. We do not find references which are out of order.
  3. We do not see a reason to restructure the last paragraphs.
  4. We disagree.
  5. The figure is reproduced from the original publication and there is copyright.
  6. Changed to 2--mass .
  7. Definition added in main text.
  8. Information added in main text.
  9. Fixed.
  10. The 2-mass corrections to the parton distributions are a 2-loop effect and can be negative. This is generally known for decades. The ratio is correctly given in percent.
  11. Due to the wealth of problems discussed a large number of diagrams would be needed. We think Feynman diagrams can be looked up in the cited references.

Anonymous on 2022-03-03  [id 2264]

(in reply to Kay Schoenwald on 2022-03-03 [id 2262])

With the newest changes, recommend for acceptance.

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