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A high-precision result for a full-color three-loop three-point form factor in N $$ \mathcal{N} $$ = 4 SYM
- Source :
- Journal of High Energy Physics, Vol 2024, Iss 2, Pp 1-30 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM. Both the leading-color and sub-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 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.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2024
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.023a9a694d36403892b503f7957fc086
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP02(2024)201