Scattering equations and a new factorization for amplitudes. Part II. Effective field theories
Abstract We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special focus on the non-linear sigma model. A defining characteristic of the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)129 |
| _version_ | 1819020313675956224 |
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| author | Humberto Gomez Andreas Helset |
| author_facet | Humberto Gomez Andreas Helset |
| author_sort | Humberto Gomez |
| collection | DOAJ |
| description | Abstract We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special focus on the non-linear sigma model. A defining characteristic of the double-cover formulation is the emergence of new factorization relations. We present several factorization relations, along with a novel recursion relation. Using the recursion relation and a new prescription for the integrand, any non-linear sigma model amplitude can be expressed in terms of off-shell three-point amplitudes. The resulting expression is purely algebraic, and we do not have to solve any scattering equation. We also discuss soft limits, boundary terms in BCFW recursion, and application of the double-cover prescription to other effective field theories, like the special Galileon theory. |
| first_indexed | 2024-12-21T03:49:14Z |
| format | Article |
| id | doaj.art-340f4ed5adf74636a8d140d2a03f139f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T03:49:14Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-340f4ed5adf74636a8d140d2a03f139f2022-12-21T19:17:01ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019514210.1007/JHEP05(2019)129Scattering equations and a new factorization for amplitudes. Part II. Effective field theoriesHumberto Gomez0Andreas Helset1Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of CopenhagenAbstract We continue the program of extending the scattering equation framework by Cachazo, He and Yuan to a double-cover prescription. We discuss how to apply the double-cover formalism to effective field theories, with a special focus on the non-linear sigma model. A defining characteristic of the double-cover formulation is the emergence of new factorization relations. We present several factorization relations, along with a novel recursion relation. Using the recursion relation and a new prescription for the integrand, any non-linear sigma model amplitude can be expressed in terms of off-shell three-point amplitudes. The resulting expression is purely algebraic, and we do not have to solve any scattering equation. We also discuss soft limits, boundary terms in BCFW recursion, and application of the double-cover prescription to other effective field theories, like the special Galileon theory.http://link.springer.com/article/10.1007/JHEP05(2019)129Differential and Algebraic GeometryScattering AmplitudesSigma Models |
| spellingShingle | Humberto Gomez Andreas Helset Scattering equations and a new factorization for amplitudes. Part II. Effective field theories Journal of High Energy Physics Differential and Algebraic Geometry Scattering Amplitudes Sigma Models |
| title | Scattering equations and a new factorization for amplitudes. Part II. Effective field theories |
| title_full | Scattering equations and a new factorization for amplitudes. Part II. Effective field theories |
| title_fullStr | Scattering equations and a new factorization for amplitudes. Part II. Effective field theories |
| title_full_unstemmed | Scattering equations and a new factorization for amplitudes. Part II. Effective field theories |
| title_short | Scattering equations and a new factorization for amplitudes. Part II. Effective field theories |
| title_sort | scattering equations and a new factorization for amplitudes part ii effective field theories |
| topic | Differential and Algebraic Geometry Scattering Amplitudes Sigma Models |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)129 |
| work_keys_str_mv | AT humbertogomez scatteringequationsandanewfactorizationforamplitudespartiieffectivefieldtheories AT andreashelset scatteringequationsandanewfactorizationforamplitudespartiieffectivefieldtheories |