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

共 43 条

[1] Full-color three-loop three-point form factors in N=4 SYM
Lin, Guanda
Yang, Gang
Zhang, Siyuan
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (03)
[2] Full-color three-loop three-point form factors in 𝒩 = 4 SYM
Guanda Lin
Gang Yang
Siyuan Zhang
Journal of High Energy Physics, 2022
[3] Analytic evaluation of the three-loop three-point form factor of tr φ3 in N=4 sYM
Henn, Johannes M.
Lim, Jungwon
Bobadilla, William J. Torres
JOURNAL OF HIGH ENERGY PHYSICS, 2025, (02):
[4] A high-precision result for a full-color three-loop three-point form factor in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 SYM
Xin Guan
Guanda Lin
Xiao Liu
Yan-Qing Ma
Gang Yang
Journal of High Energy Physics, 2024 (2)
[5] Three-loop four-point correlator in N=4 SYM
Eden, B
Schubert, C
Sokatchev, E
PHYSICS LETTERS B, 2000, 482 (1-3) : 309 - 314
[6] A three-loop test of the dilatation operator in N=4 SYM
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NUCLEAR PHYSICS B, 2005, 712 (1-2) : 157 - 195
[7] Analytic three-loop solutions for N=4 SYM twist operators
Kotikov, Anatoly V.
Rej, Adam
Zieme, Stefan
NUCLEAR PHYSICS B, 2009, 813 (03) : 460 - 483
[8] Three-loop test of the dilatation operator and integrability in N=4 SYM
Eden, B
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FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2005, 53 (5-6): : 610 - 614
[9] Three-point functions in N=4 SYM: the hexagon proposal at three loops
Eden, Burkhand
Sfondrini, Alessandro
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (02): : 1 - 18
[10] Operator mixing and three-point functions in N=4 SYM
Georgiou, George
Gili, Valeria L.
Russo, Rodolfo
JOURNAL OF HIGH ENERGY PHYSICS, 2009, (10):

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