About Calculation of Massless and Massive Feynman Integrals

被引：5
作者：
Kotikov, Anatoly, V [1 ]
机构：
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
来源：
PARTICLES | 2020年 / 3卷 / 02期
关键词：
Feynman integrals; dimensional regularization; Gegenbauer Polynomials; DEEP-INELASTIC-SCATTERING; MAXIMAL TRANSCENDENTALITY CALCULATION; OPERATOR PRODUCT EXPANSION; DIFFERENTIAL-EQUATIONS METHOD; 3-LOOP SPLITTING FUNCTIONS; VERTEX-TYPE DIAGRAMS; ALPHA-S-CORRECTION; SMALL X BEHAVIOR; N=4 SYM; POMERANCHUK SINGULARITY;
D O I：
10.3390/particles3020030
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We report some results of calculations of massless and massive Feynman integrals particularly focusing on difference equations for coefficients of for their series expansions.
引用
收藏
页码：394 / 443
页数：50
相关论文
共 207 条
[1]   Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory [J].
Abreu, Samuel ;
Dixon, Lance J. ;
Herrmann, Enrico ;
Page, Ben ;
Zeng, Mao .
PHYSICAL REVIEW LETTERS, 2019, 122 (12)
[2]  
Abreu S, 2019, J HIGH ENERGY PHYS, DOI 10.1007/JHEP03(2019)123
[3]   The ε-form of the differential equations for Feynman integrals in the elliptic case [J].
Adams, Luise ;
Weinzierl, Stefan .
PHYSICS LETTERS B, 2018, 781 :270-278
[4]   ASYMPTOTIC FREEDOM IN PARTON LANGUAGE [J].
ALTARELLI, G ;
PARISI, G .
NUCLEAR PHYSICS B, 1977, 126 (02) :298-318
[5]   Local integrands for the five-point amplitude in planar N=4 SYM up to five loops [J].
Ambrosio, Raquel G. ;
Eden, Burkhard ;
Goddard, Timothy ;
Heslop, Paul ;
Taylor, Charles .
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (01)
[6]  
Anastasiou C., 200106295 ARXIV
[7]  
[Anonymous], 1977, Sov. Phys., DOI DOI 10.1016/0550-3213(77)90384-4
[8]   Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude [J].
Badger, S. ;
Chicherin, D. ;
Gehrmann, T. ;
Heinrich, G. ;
Henn, J. M. ;
Peraro, T. ;
Wasser, P. ;
Zhang, Y. ;
Zoia, S. .
PHYSICAL REVIEW LETTERS, 2019, 123 (07)
[9]   Four loop twist two, BFKL, wrapping and strings [J].
Bajnok, Zoltan ;
Janik, Romuald A. ;
Lukowski, Tomasz .
NUCLEAR PHYSICS B, 2009, 816 (03) :376-398
[10]  
BALITSKII YY, 1978, SOV J NUCL PHYS+, V28, P822
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