A tale of two exponentiations in N=8 supergravity
The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a rem...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319306495 |
| _version_ | 1828260751013314560 |
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| author | Paolo Di Vecchia Andrés Luna Stephen G. Naculich Rodolfo Russo Gabriele Veneziano Chris D. White |
| author_facet | Paolo Di Vecchia Andrés Luna Stephen G. Naculich Rodolfo Russo Gabriele Veneziano Chris D. White |
| author_sort | Paolo Di Vecchia |
| collection | DOAJ |
| description | The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops. |
| first_indexed | 2024-04-13T03:27:51Z |
| format | Article |
| id | doaj.art-f4be4415a9894dafabde16e6954b2560 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T03:27:51Z |
| publishDate | 2019-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f4be4415a9894dafabde16e6954b25602022-12-22T03:04:36ZengElsevierPhysics Letters B0370-26932019-11-01798A tale of two exponentiations in N=8 supergravityPaolo Di Vecchia0Andrés Luna1Stephen G. Naculich2Rodolfo Russo3Gabriele Veneziano4Chris D. White5NORDITA, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden; The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, DenmarkMani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California at Los Angeles, CA 90095, USADepartment of Physics, Bowdoin College, Brunswick, ME 04011, USACentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, 327 Mile End Road, London E1 4NS, UKTheory Department, CERN, CH-1211 Geneva 23, Switzerland; Collége de France, 11 place M. Berthelot, 75005 Paris, FranceCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, 327 Mile End Road, London E1 4NS, UK; Corresponding author.The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.http://www.sciencedirect.com/science/article/pii/S0370269319306495 |
| spellingShingle | Paolo Di Vecchia Andrés Luna Stephen G. Naculich Rodolfo Russo Gabriele Veneziano Chris D. White A tale of two exponentiations in N=8 supergravity Physics Letters B |
| title | A tale of two exponentiations in N=8 supergravity |
| title_full | A tale of two exponentiations in N=8 supergravity |
| title_fullStr | A tale of two exponentiations in N=8 supergravity |
| title_full_unstemmed | A tale of two exponentiations in N=8 supergravity |
| title_short | A tale of two exponentiations in N=8 supergravity |
| title_sort | tale of two exponentiations in n 8 supergravity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319306495 |
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