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.

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., Wasser, P., Zhang, Y., & 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: Aug 20, 2019
• 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
• Public URL: https://durham-repository.worktribe.com/output/1290021