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Aspects of High Energy Scattering

by Chris D. White

This Submission thread is now published as

Submission summary

Authors (as Contributors): Chris White
Submission information
Arxiv Link: (pdf)
Date accepted: 2020-01-23
Date submitted: 2020-01-17 01:00
Submitted by: White, Chris
Submitted to: SciPost Physics Lecture Notes
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


Scattering amplitudes in quantum field theories are of widespread interest, due to a large number of theoretical and phenomenological applications. Much is known about the possible behaviour of amplitudes, that is independent of the details of the underlying theory. This knowledge is often neglected in modern QFT courses, and the aim of these notes - aimed at graduate students - is to redress this. We review the possible singularities that amplitudes can have, before examining the generic behaviour that can arise in the high-energy limit. Finally, we illustrate the results using examples from QCD and gravity.

Published as SciPost Phys. Lect. Notes 13 (2020)

Author comments upon resubmission

Dear colleague,

I am writing to resubmit my lecture notes, following minor revisions at the request of both anonymous referees. My responses to each of them are attached below.

Kind Regards,

Chris White

List of changes

Response to Report 1:

I thank the referee for their comments, and have made all the requested minor
changes for resubmission.

Response to Report 2:

I thank the referee for their careful reading, and very helpful
suggestions on how to improve the article. A summary of my changes is as follows:

1. I added a reference to Veltman's book in section 2.

2. I have rephrased the discussion of cluster decomposition to remove
this confusion.

3. I have added a discussion at the end of section 2.2 to discuss the
assumption of a mass gap.

4. I have clarified the notation in the caption of figure 3, choosing
to keep letters for particle species, and numbers for 4-momenta. One
reason is that this notation agrees with recent literature on
scattering amplitudes.

5. The referee is strictly speaking correct, although much of the
literature on the Regge limit (including recent studies) uses the terms
"high energy" and "Regge" interchangeably. I have added a clarifying
footnote on p. 19, and hope this does the trick.

6. Please see point 5.

7. The referee is correct about this limitation, which arose due to
the finite length of the lecture notes. I have now added a comment to
address this to the final paragraph of the conclusion, with

8. I have implemented the referee's suggestion.

9. I have added a new introduction to section 4 in line with the
referee's suggestions. Furthermore, I added a clarifying remark at the
end of the first paragraph on p. 30.

Submission & Refereeing History

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Resubmission 1909.05177v2 on 17 January 2020

Reports on this Submission

Anonymous Report 1 on 2020-1-18 (Invited Report)


The revised manuscript shares all of the many strengths of the original submission, and adds many improvements as well.


The work is good, thorough, and extremely pedagogical. It will serve as a useful reference to students and researchers alike. It should be published.

  • validity: top
  • significance: good
  • originality: -
  • clarity: top
  • formatting: excellent
  • grammar: perfect

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