The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM
Abstract In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 $$ \mathcal{N}=4 $$ SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon tree-level amplitudes and loop inte...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)129 |
| _version_ | 1818481195034345472 |
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| author | A. E. Bolshov L. V. Bork A. I. Onishchenko |
| author_facet | A. E. Bolshov L. V. Bork A. I. Onishchenko |
| author_sort | A. E. Bolshov |
| collection | DOAJ |
| description | Abstract In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 $$ \mathcal{N}=4 $$ SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon tree-level amplitudes and loop integrands starting from corresponding expressions for on-shell amplitudes. The introduced gluing procedure is used to derive the BCFW recursions both for tree-level reggeon amplitudes and their loop integrands. In addition we provide predictions for the reggeon loop integrands written in the basis of local integrals. As a check of the correctness of the gluing operation at loop level we derive the expression for LO BFKL kernel in N=4 $$ \mathcal{N}=4 $$ SYM. |
| first_indexed | 2024-12-10T11:31:44Z |
| format | Article |
| id | doaj.art-5e5c063e17e64e2ebc55ed91d77a9ee1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T11:31:44Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5e5c063e17e64e2ebc55ed91d77a9ee12022-12-22T01:50:34ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018614410.1007/JHEP06(2018)129The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYMA. E. Bolshov0L. V. Bork1A. I. Onishchenko2Joint Institute for Nuclear ResearchInstitute for Theoretical and Experimental PhysicsJoint Institute for Nuclear ResearchAbstract In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 $$ \mathcal{N}=4 $$ SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon tree-level amplitudes and loop integrands starting from corresponding expressions for on-shell amplitudes. The introduced gluing procedure is used to derive the BCFW recursions both for tree-level reggeon amplitudes and their loop integrands. In addition we provide predictions for the reggeon loop integrands written in the basis of local integrals. As a check of the correctness of the gluing operation at loop level we derive the expression for LO BFKL kernel in N=4 $$ \mathcal{N}=4 $$ SYM.http://link.springer.com/article/10.1007/JHEP06(2018)129Scattering AmplitudesExtended SupersymmetryPerturbative QCD |
| spellingShingle | A. E. Bolshov L. V. Bork A. I. Onishchenko The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM Journal of High Energy Physics Scattering Amplitudes Extended Supersymmetry Perturbative QCD |
| title | The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_full | The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_fullStr | The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_full_unstemmed | The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_short | The all-loop conjecture for integrands of reggeon amplitudes in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_sort | all loop conjecture for integrands of reggeon amplitudes in n 4 mathcal n 4 sym |
| topic | Scattering Amplitudes Extended Supersymmetry Perturbative QCD |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)129 |
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