Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action
Abstract The α ′-expansion of string theory provides a rich set of higher-dimension operators, indexed by ζ values, which can be used to study color-kinematics duality and the double copy. These two powerful properties, actually first noticed in tree-level string amplitudes, simplify the constructio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)022 |
| _version_ | 1797341446855983104 |
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| author | Alex Edison Micah Tegevi |
| author_facet | Alex Edison Micah Tegevi |
| author_sort | Alex Edison |
| collection | DOAJ |
| description | Abstract The α ′-expansion of string theory provides a rich set of higher-dimension operators, indexed by ζ values, which can be used to study color-kinematics duality and the double copy. These two powerful properties, actually first noticed in tree-level string amplitudes, simplify the construction of both gauge and gravity amplitudes. However, their applicability and limitations are not fully understood. We attempt to construct a set of color-kinematics dual numerators at one loop and four points for insertions of operator combinations corresponding to the lowest four ζ 2-free operator insertions from the open superstring: ζ 3, ζ 5, ζ 3 2 $$ {\zeta}_3^2 $$ , and ζ 7. We succeed in finding a representation for the first three in terms of box, triangle, and bubble numerators. In the case of ζ 7 we find an obstruction to a fully color-dual representation related to the bubble-on-external-leg type diagrams. We discuss two paths around this obstruction, both of which signal an incompatability between color-kinematics duality and manifesting certain desired properties. Using the constructed color-dual numerators, we find two different Bern-Carrasco-Johansson double copies that produce candidate closed-string-insertion numerators. Both approaches to the double copy match the kinematics of the cuts, with relative normalization set by either summing over both double copies including degeneracy or by including an explicit prefactor on the double-copy numerator definitions. |
| first_indexed | 2024-03-08T10:18:12Z |
| format | Article |
| id | doaj.art-e22dbdae591f4569bd38a7b345035c3e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:18:12Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e22dbdae591f4569bd38a7b345035c3e2024-01-28T12:17:39ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012810.1007/JHEP10(2023)022Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective actionAlex Edison0Micah Tegevi1Department of Physics and Astronomy, Northwestern UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract The α ′-expansion of string theory provides a rich set of higher-dimension operators, indexed by ζ values, which can be used to study color-kinematics duality and the double copy. These two powerful properties, actually first noticed in tree-level string amplitudes, simplify the construction of both gauge and gravity amplitudes. However, their applicability and limitations are not fully understood. We attempt to construct a set of color-kinematics dual numerators at one loop and four points for insertions of operator combinations corresponding to the lowest four ζ 2-free operator insertions from the open superstring: ζ 3, ζ 5, ζ 3 2 $$ {\zeta}_3^2 $$ , and ζ 7. We succeed in finding a representation for the first three in terms of box, triangle, and bubble numerators. In the case of ζ 7 we find an obstruction to a fully color-dual representation related to the bubble-on-external-leg type diagrams. We discuss two paths around this obstruction, both of which signal an incompatability between color-kinematics duality and manifesting certain desired properties. Using the constructed color-dual numerators, we find two different Bern-Carrasco-Johansson double copies that produce candidate closed-string-insertion numerators. Both approaches to the double copy match the kinematics of the cuts, with relative normalization set by either summing over both double copies including degeneracy or by including an explicit prefactor on the double-copy numerator definitions.https://doi.org/10.1007/JHEP10(2023)022Scattering AmplitudesSuperstrings and Heterotic Strings |
| spellingShingle | Alex Edison Micah Tegevi Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings |
| title | Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action |
| title_full | Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action |
| title_fullStr | Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action |
| title_full_unstemmed | Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action |
| title_short | Color-kinematics dual representations of one-loop matrix elements in the open-superstring effective action |
| title_sort | color kinematics dual representations of one loop matrix elements in the open superstring effective action |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP10(2023)022 |
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