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Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude

Badger, S.; Chicherin, D.; Gehrmann, T.; Heinrich, G.; Henn, J. M.; Peraro, T.; Wasser, P.; Zhang, Y.; Zoia, S.

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Authors

D. Chicherin

T. Gehrmann

G. Heinrich

J. M. Henn

T. Peraro

P. Wasser

Y. Zhang

S. Zoia



Abstract

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms, and rational functions.

Citation

Badger, S., Chicherin, D., Gehrmann, T., Heinrich, G., Henn, J., Peraro, T., …Zoia, S. (2019). Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude. Physical Review Letters, 123(7), Article 071601. https://doi.org/10.1103/physrevlett.123.071601

Journal Article Type Article
Online Publication Date Aug 13, 2019
Publication Date Aug 31, 2019
Deposit Date Aug 20, 2019
Publicly Available Date Mar 29, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 123
Issue 7
Article Number 071601
DOI https://doi.org/10.1103/physrevlett.123.071601

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Copyright Statement
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.





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