A high-precision result for a full-color three-loop three-point form factor in N=4SYM

被引：0

作者：

Guan, Xin ^{[1
]}

Lin, Guanda ^{[2
]}

Liu, Xiao ^{[3
]}

Ma, Yan-Qing ^{[1
,4
]}

Yang, Gang ^{[5
,6
,7
]}

机构：

[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China

[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

[3] Rudolf Peierls Ctr Theoret Phys, Clarendon Lab, Pk Rd, Oxford OX1 3PU, England

[4] Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China

[5] Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China

[6] UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China

[7] Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 02期

基金：

中国国家自然科学基金;

关键词：

Higher-Order Perturbative Calculations; Scattering Amplitudes; 1/N Expansion; Supersymmetric Gauge Theory; DIFFERENTIAL-EQUATIONS; AMPLITUDES; UNITARITY;

D O I：

10.1007/JHEP02(2024)201

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in 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.

引用

页数：30

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