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Boels, RH; Huber, T1; Yang, G2
The Sudakov form factor at four loops in maximal super Yang-Mills theory
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordMELLIN-BARNES INTEGRALS MULTILOOP NUMERICAL-CALCULATIONS SECTOR DECOMPOSITION MASTER INTEGRALS FEYNMAN DIAGRAMS ANALYTIC CONTINUATION ASYMPTOTIC-BEHAVIOR GAUGE-THEORY ALGORITHM KINEMATICS
AbstractThe four-loop Sudakov form factor in maximal super Yang-Mills theory is analysed in detail. It is shown explicitly how to construct a basis of integrals that have a uniformly transcendental expansion in the dimensional regularisation parameter, further elucidating the number-theoretic properties of Feynman integrals. The physical form factor is expressed in this basis for arbitrary colour factor. In the nonplanar sector the required integrals are integrated numerically using a mix of sector-decomposition and Mellin-Barnes representation methods. Both the cusp as well as the collinear anomalous dimension are computed. The results show explicitly the violation of quadratic Casimir scaling at the four-loop order. A thorough analysis concerning the reliability of reported numerical uncertainties is carried out.
2018
ISSN1029-8479
Issue1Pages:153
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP01(2018)153
Indexed BySCIE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22975
Collection理论物理所科研产出_SCI论文
Affiliation1.[Boels, Rutger H.] Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany
2.Univ Siegen, Nat Wissensch Tech Fakult, Walter Flex Str 3, D-57068 Siegen, Germany
3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Boels, RH,Huber, T,Yang, G. The Sudakov form factor at four loops in maximal super Yang-Mills theory[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(1):153.
APA Boels, RH,Huber, T,&Yang, G.(2018).The Sudakov form factor at four loops in maximal super Yang-Mills theory.JOURNAL OF HIGH ENERGY PHYSICS(1),153.
MLA Boels, RH,et al."The Sudakov form factor at four loops in maximal super Yang-Mills theory".JOURNAL OF HIGH ENERGY PHYSICS .1(2018):153.
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