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Loebbert, F; Sieg, C; Wilhelm, M; Yang, G; Loebbert, F (reprint author), Humboldt Univ, Inst Phys, Grossen Windkanal 6, D-12489 Berlin, Germany.
Two-loop SL(2) form factors and maximal transcendentality
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordScattering Amplitudes Conformal Field Theory Integrable Field Theories Supersymmetric Gauge Theory
AbstractForm 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.
2016
Issue12Pages:90
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP12(2016)090
Indexed BySCI
Funding OrganizationDFF-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]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21459
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLoebbert, F (reprint author), Humboldt Univ, Inst Phys, Grossen Windkanal 6, D-12489 Berlin, Germany.
Recommended Citation
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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