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Two-loop SL(2) form factors and maximal transcendentality
Loebbert, F; Sieg, C; Wilhelm, M; Yang, G; Loebbert, F (reprint author), Humboldt Univ, Inst Phys, Grossen Windkanal 6, D-12489 Berlin, Germany.
2016
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
期号12页码:90
文章类型Article
摘要Form factors of composite operators in the SL(2) sector of N = 4 SYM theory are studied up to two loops via the on-shell unitarity method. The non-compactness of this subsector implies the novel feature and technical challenge of an unlimited number of loop momenta in the integrand's numerator. At one loop, we derive the full minimal form factor to all orders in the dimensional regularisation parameter. At two loops, we construct the complete integrand for composite operators with an arbitrary number of covariant derivatives, and we obtain the remainder functions as well as the dilatation operator for composite operators with up to three covariant derivatives. The remainder functions reveal curious patterns suggesting a hidden maximal uniform transcendentality for the full form factor. Finally, we speculate about an extension of these patterns to QCD.
关键词Scattering Amplitudes Conformal Field Theory Integrable Field Theories Supersymmetric Gauge Theory
学科领域Physics
资助者DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089]
DOIhttp://dx.doi.org/10.1007/JHEP12(2016)090
关键词[WOS]SUPER-YANG-MILLS ; VERTEX-TYPE DIAGRAMS ; ONE NONZERO MASS ; DILATATION OPERATOR ; ASYMPTOTIC-BEHAVIOR ; MASTER INTEGRALS ; LOOP AMPLITUDES ; WILSON LOOP ; EQUATION ; RENORMALIZATION
收录类别SCI
语种英语
资助者DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; DFF-FNU [DFF-4002-00037] ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Chinese Academy of Sciences (CAS) Hundred-Talent Program ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; Key Research Program of Frontier Sciences of CAS [QYZDB-SSW-SYS014] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; DFG [SFB 647] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089] ; Marie Curie network GATIS of the European Union's Seventh Framework Programme FP7/under REA Grant [317089]
WOS类目Physics, Particles & Fields
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21459
专题理论物理所SCI论文
通讯作者Loebbert, F (reprint author), Humboldt Univ, Inst Phys, Grossen Windkanal 6, D-12489 Berlin, Germany.
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GB/T 7714
Loebbert, F,Sieg, C,Wilhelm, M,et al. Two-loop SL(2) form factors and maximal transcendentality[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(12):90.
APA Loebbert, F,Sieg, C,Wilhelm, M,Yang, G,&Loebbert, F .(2016).Two-loop SL(2) form factors and maximal transcendentality.JOURNAL OF HIGH ENERGY PHYSICS(12),90.
MLA Loebbert, F,et al."Two-loop SL(2) form factors and maximal transcendentality".JOURNAL OF HIGH ENERGY PHYSICS .12(2016):90.
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