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All-Orders Quadratic-Logarithmic Behavior for Amplitudes

Basso, B., Dixon, L. J., Liu, Y-T. & Papathanasiou, G. ORCID: 0000-0002-2627-9906 (2023). All-Orders Quadratic-Logarithmic Behavior for Amplitudes. Physical Review Letters, 130(11), article number 111602. doi: 10.1103/physrevlett.130.111602


We classify origin limits of maximally helicity violating multigluon scattering amplitudes in planar N=4 super-Yang-Mills theory, where a large number of cross ratios approach zero, with the help of cluster algebras. By analyzing existing perturbative data and bootstrapping new data, we provide evidence that the amplitudes become the exponential of a quadratic polynomial in the large logarithms. With additional input from the thermodynamic Bethe ansatz at strong coupling, we conjecture exact expressions for amplitudes with up to eight gluons in all origin limits. Our expressions are governed by the tilted cusp anomalous dimension evaluated at various values of the tilt angle.

Publication Type: Article
Additional Information: This article is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained.
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology
School of Science & Technology > Mathematics
SWORD Depositor:
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