RECORD
O(\alpha_s^2) Corrections to Top Quark Production at $e^+e^-$ Colliders
High Energy Physics - Phenomenology · Submitted 20 Oct 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is demonstrated that for center of mass energies $\sqrt{s} >~ 500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
In this article we evaluate mass corrections up to $O((m^2/q^2)^6)$ to the three-loop polarization function induced by an axial-vector current. Special emphasis is put on the evaluation of the singlet diagram which is absent in the vector case. As a physical application $O(\alpha_s^2)$ corrections to the production of top quarks at future $e^+e^-$ colliders is considered. It is demonstrated that for center of mass energies $\sqrt{s} >~ 500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this article we evaluate mass corrections up to $O((m^2/q^2)^6)$ to the three-loop polarization function induced by an axial-vector current. | contribution 1.00 | 0.94 | 0.08 | asserted 0.99 |
| s1 | Special emphasis is put on the evaluation of the singlet diagram which is absent in the vector case. | contribution 0.92 | 0.74 | 0.05 | asserted 0.72 |
| s2 | As a physical application $O(\alpha_s^2)$ corrections to the production of top quarks at future $e^+e^-$ colliders is considered. | contribution 0.99 | 0.82 | 0.11 | asserted 0.88 |
| s3 | It is demonstrated that for center of mass energies $\sqrt{s} >~ 500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description. | result 0.87 | 0.89 | 0.51 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
In this article we evaluate mass corrections up to $O((m^2/q^2)^6)$ to the three-loop polarization function induced by an axial-vector current. Special emphasis is put on the evaluation of the singlet diagram which is absent in the vector case. As a physical application $O(\alpha_s^2)$ corrections to the production of top quarks at future $e^+e^-$ colliders is considered. It is demonstrated that for center of mass energies $\sqrt{s} >~ 500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.
Human review
References
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it
Cites it as background 2 papers
-
The NNLO QCD corrections were firstly computed by expansion in various limits—the small or heavy quark mass limits and near the threshold—and by Padé approximants [ref] , and then achieved with full mass dependence by numerical integration methods to properly subtract the infrared divergences [ref] or by numerical solution of the differential equations for the three-loop vacuum polarisation diagrams [ref] .
Analytic NNLO QCD corrections to top quark pair production in electron-positron collisions · Introduction · 0.91
-
Onshell top-quark pair-production in the continuum is now known at next-to-next-to-leading order (NNLO) in QCD [ref] .
Probing the top-quark width through ratios of resonance contributions of $e^+e^-\rightarrow W^+W^-b\bar{b}$ · Introduction · 0.90
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.