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A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM
- Publication Year :
- 2023
-
Abstract
- We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in ${\cal N}=4$ SYM. Both the leading-color and non-leading-color form factors are expanded in terms of simple integrals. We compute the complete set of integrals at a special kinematic point with very high precision using $\mathtt{AMFlow}$. The high-precision leading-color result enables us to obtain the analytic form of a numerical constant in the three-loop BDS ansatz, which is previously known only numerically. The high-precision values of the non-leading-color finite remainder as well as all integrals are also presented, which can be valuable for future use.<br />Comment: 6 pages, 25 pages of appendix; v2: appendix modified, published version
- Subjects :
- High Energy Physics - Theory
High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2309.04395
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP02(2024)201