The Sudakov form factor at four loops in maximal super Yang-Mills theory

doi:10.1007/JHEP01(2018)153

ITP OpenIR > SCI期刊论文

	Boels, RH ; Huber, T 1; Yang, G2
	The Sudakov form factor at four loops in maximal super Yang-Mills theory
Source Publication	JOURNAL OF HIGH ENERGY PHYSICS
Language	英语
Keyword	MELLIN-BARNES INTEGRALS MULTILOOP NUMERICAL-CALCULATIONS SECTOR DECOMPOSITION MASTER INTEGRALS FEYNMAN DIAGRAMS ANALYTIC CONTINUATION ASYMPTOTIC-BEHAVIOR GAUGE-THEORY ALGORITHM KINEMATICS
Abstract	The 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
ISSN	1029-8479
Issue	1 Pages:153
Subject Area	Physics
MOST Discipline Catalogue	Physics, Particles & Fields
DOI	10.1007/JHEP01(2018)153
Indexed By	SCIE
Citation statistics	Cited Times:18[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/22975
Collection	SCI期刊论文
Affiliation	1.[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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