Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 342

The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.

Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory

Open access
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., Volovich, A.·2008·Physical Review D
DOI 10.1103/physrevd.78.045007
Open this paper in CoChat — free account

Abstract

We give a representation of the parity-even part of the planar two-loop six-gluon maximally helicity violating (MHV) amplitude of $\mathcal{N}=4$ super-Yang-Mills theory, in terms of loop-momentum integrals with simple dual conformal properties. We evaluate the integrals numerically in order to test directly the Anastasiou-Bern-Dixon-Kosower/Bern-Dixon-Smirnov all-loop ansatz for planar MHV amplitudes. We find that the ansatz requires an additive remainder function, in accord with previous indications from strong-coupling and Regge limits. The planar six-gluon amplitude can also be compared with the hexagonal Wilson loop computed by Drummond, Henn, Korchemsky, and Sokatchev in arXiv:0803.1466. After accounting for differing singularities and other constants independent of the kinematics, we find that the Wilson loop and MHV-amplitude remainders are identical, to within our numerical precision. This result provides nontrivial confirmation of a proposed $n$-point equivalence between Wilson loops and planar MHV amplitudes, and suggests that an additional mechanism besides dual conformal symmetry fixes their form at six points and beyond.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.78.045007

Cites

44 of 44 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 44 references

Cited by

See all 342

Metadata

Authors
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., & Volovich, A.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2008-08-11
Volume
78
Issue
4
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.78.045007
OpenAlex
W2063740862
Cited by
342
References
44
FWCI
26.56
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory. https://app.cochat.ai/papers/10.1103/physrevd.78.045007
The paper
Bern, Z., Dixon, L. J., Kosower, D. A., Roiban, R., Spradlin, M., Vergu, C., & Volovich, A. (2008). Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory. Physical Review D. https://doi.org/10.1103/physrevd.78.045007

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.