DOAJ Open Access 2024

A high-precision result for a full-color three-loop three-point form factor in N $$ \mathcal{N} $$ = 4 SYM

Xin Guan Guanda Lin Xiao Liu Yan-Qing Ma Gang Yang

Abstrak

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.

Penulis (5)

X

Xin Guan

G

Guanda Lin

X

Xiao Liu

Y

Yan-Qing Ma

G

Gang Yang

Format Sitasi

Guan, X., Lin, G., Liu, X., Ma, Y., Yang, G. (2024). A high-precision result for a full-color three-loop three-point form factor in N $$ \mathcal{N} $$ = 4 SYM. https://doi.org/10.1007/JHEP02(2024)201

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.1007/JHEP02(2024)201
Akses
Open Access ✓