Efficient calculation of crossing symmetric BCJ tree numerators
Abstract In this paper, we develop an improved method for directly calculating double-copy-compatible tree numerators in (super-)Yang-Mills and Yang-Mills-scalar theories. Our new scheme gets rid of any explicit dependence on reference orderings, restoring a form of crossing symmetry to the numerato...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)138 |
| _version_ | 1818565168714481664 |
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| author | Alex Edison Fei Teng |
| author_facet | Alex Edison Fei Teng |
| author_sort | Alex Edison |
| collection | DOAJ |
| description | Abstract In this paper, we develop an improved method for directly calculating double-copy-compatible tree numerators in (super-)Yang-Mills and Yang-Mills-scalar theories. Our new scheme gets rid of any explicit dependence on reference orderings, restoring a form of crossing symmetry to the numerators. This in turn improves the computational efficiency of the algorithm, allowing us to go well beyond the number of external particles accessible with the reference order based methods. Motivated by a parallel study of one-loop BCJ numerators from forward limits, we explore the generalization to include a pair of fermions. To improve the accessibility of the new algorithm, we provide a Mathematica package that implements the numerator construction. The structure of the computation also provides for a straightforward introduction of minimally-coupled massive particles potentially useful for future computations in both classical and quantum gravity. |
| first_indexed | 2024-12-14T01:37:46Z |
| format | Article |
| id | doaj.art-8838cc5031c8414eadcba1d0db657b7c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T01:37:46Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8838cc5031c8414eadcba1d0db657b7c2022-12-21T23:21:51ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201213610.1007/JHEP12(2020)138Efficient calculation of crossing symmetric BCJ tree numeratorsAlex Edison0Fei Teng1Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract In this paper, we develop an improved method for directly calculating double-copy-compatible tree numerators in (super-)Yang-Mills and Yang-Mills-scalar theories. Our new scheme gets rid of any explicit dependence on reference orderings, restoring a form of crossing symmetry to the numerators. This in turn improves the computational efficiency of the algorithm, allowing us to go well beyond the number of external particles accessible with the reference order based methods. Motivated by a parallel study of one-loop BCJ numerators from forward limits, we explore the generalization to include a pair of fermions. To improve the accessibility of the new algorithm, we provide a Mathematica package that implements the numerator construction. The structure of the computation also provides for a straightforward introduction of minimally-coupled massive particles potentially useful for future computations in both classical and quantum gravity.https://doi.org/10.1007/JHEP12(2020)138Scattering AmplitudesGauge SymmetrySuperstrings and Heterotic Strings |
| spellingShingle | Alex Edison Fei Teng Efficient calculation of crossing symmetric BCJ tree numerators Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry Superstrings and Heterotic Strings |
| title | Efficient calculation of crossing symmetric BCJ tree numerators |
| title_full | Efficient calculation of crossing symmetric BCJ tree numerators |
| title_fullStr | Efficient calculation of crossing symmetric BCJ tree numerators |
| title_full_unstemmed | Efficient calculation of crossing symmetric BCJ tree numerators |
| title_short | Efficient calculation of crossing symmetric BCJ tree numerators |
| title_sort | efficient calculation of crossing symmetric bcj tree numerators |
| topic | Scattering Amplitudes Gauge Symmetry Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP12(2020)138 |
| work_keys_str_mv | AT alexedison efficientcalculationofcrossingsymmetricbcjtreenumerators AT feiteng efficientcalculationofcrossingsymmetricbcjtreenumerators |