Locality and analyticity of the crossing symmetric dispersion relation
Abstract This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is pr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)180 |
| _version_ | 1811197834906566656 |
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| author | Debapriyo Chowdhury Parthiv Haldar Ahmadullah Zahed |
| author_facet | Debapriyo Chowdhury Parthiv Haldar Ahmadullah Zahed |
| author_sort | Debapriyo Chowdhury |
| collection | DOAJ |
| description | Abstract This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is provided for the contact terms that emerge from the expansion. The analyticity domain of the expansion is also derived analogously to the Lehmann-Martin ellipse. Our observation of type-II super-string tree amplitude suggests that the Feynman block expansion has a bigger analyticity domain and better convergence. |
| first_indexed | 2024-04-12T01:21:08Z |
| format | Article |
| id | doaj.art-83327abcae4041d3b0c298ecb5d0371e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T01:21:08Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-83327abcae4041d3b0c298ecb5d0371e2022-12-22T03:53:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221013310.1007/JHEP10(2022)180Locality and analyticity of the crossing symmetric dispersion relationDebapriyo Chowdhury0Parthiv Haldar1Ahmadullah Zahed2Centre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceAbstract This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is provided for the contact terms that emerge from the expansion. The analyticity domain of the expansion is also derived analogously to the Lehmann-Martin ellipse. Our observation of type-II super-string tree amplitude suggests that the Feynman block expansion has a bigger analyticity domain and better convergence.https://doi.org/10.1007/JHEP10(2022)180Field Theories in Higher DimensionsScattering Amplitudes |
| spellingShingle | Debapriyo Chowdhury Parthiv Haldar Ahmadullah Zahed Locality and analyticity of the crossing symmetric dispersion relation Journal of High Energy Physics Field Theories in Higher Dimensions Scattering Amplitudes |
| title | Locality and analyticity of the crossing symmetric dispersion relation |
| title_full | Locality and analyticity of the crossing symmetric dispersion relation |
| title_fullStr | Locality and analyticity of the crossing symmetric dispersion relation |
| title_full_unstemmed | Locality and analyticity of the crossing symmetric dispersion relation |
| title_short | Locality and analyticity of the crossing symmetric dispersion relation |
| title_sort | locality and analyticity of the crossing symmetric dispersion relation |
| topic | Field Theories in Higher Dimensions Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP10(2022)180 |
| work_keys_str_mv | AT debapriyochowdhury localityandanalyticityofthecrossingsymmetricdispersionrelation AT parthivhaldar localityandanalyticityofthecrossingsymmetricdispersionrelation AT ahmadullahzahed localityandanalyticityofthecrossingsymmetricdispersionrelation |