Celestial insights into the S-matrix bootstrap
Abstract We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)216 |
| _version_ | 1811281144270815232 |
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| author | Sudip Ghosh Prashanth Raman Aninda Sinha |
| author_facet | Sudip Ghosh Prashanth Raman Aninda Sinha |
| author_sort | Sudip Ghosh |
| collection | DOAJ |
| description | Abstract We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial variable, which need to be removed in local theories. The locality constraints (null constraints) admit closed form expressions, which lead to novel bounds on partial wave moments. These bounds allow us to quantify the degree of low spin dominance(LSD) for scalar theories. We study a new kind of positivity that seems to be present in a wide class of theories. We prove that this positivity arises only in theories with a spin-0 dominance. The crossing symmetric partial waves with spurious singularities removed, dubbed as Feynman blocks, have remarkable properties in the Celestial variable, namely typically realness, in the sense of Geometric Function Theory (GFT). Using GFT techniques we derive non-projective bounds on Wilson coefficients in terms of partial wave moments. |
| first_indexed | 2024-04-13T01:28:22Z |
| format | Article |
| id | doaj.art-18f8dad3baf945cba0a08033f3529468 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T01:28:22Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-18f8dad3baf945cba0a08033f35294682022-12-22T03:08:35ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022814710.1007/JHEP08(2022)216Celestial insights into the S-matrix bootstrapSudip Ghosh0Prashanth Raman1Aninda Sinha2Centre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceAbstract We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial variable, which need to be removed in local theories. The locality constraints (null constraints) admit closed form expressions, which lead to novel bounds on partial wave moments. These bounds allow us to quantify the degree of low spin dominance(LSD) for scalar theories. We study a new kind of positivity that seems to be present in a wide class of theories. We prove that this positivity arises only in theories with a spin-0 dominance. The crossing symmetric partial waves with spurious singularities removed, dubbed as Feynman blocks, have remarkable properties in the Celestial variable, namely typically realness, in the sense of Geometric Function Theory (GFT). Using GFT techniques we derive non-projective bounds on Wilson coefficients in terms of partial wave moments.https://doi.org/10.1007/JHEP08(2022)216Effective Field TheoriesScattering AmplitudesScale and Conformal Symmetries |
| spellingShingle | Sudip Ghosh Prashanth Raman Aninda Sinha Celestial insights into the S-matrix bootstrap Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Scale and Conformal Symmetries |
| title | Celestial insights into the S-matrix bootstrap |
| title_full | Celestial insights into the S-matrix bootstrap |
| title_fullStr | Celestial insights into the S-matrix bootstrap |
| title_full_unstemmed | Celestial insights into the S-matrix bootstrap |
| title_short | Celestial insights into the S-matrix bootstrap |
| title_sort | celestial insights into the s matrix bootstrap |
| topic | Effective Field Theories Scattering Amplitudes Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP08(2022)216 |
| work_keys_str_mv | AT sudipghosh celestialinsightsintothesmatrixbootstrap AT prashanthraman celestialinsightsintothesmatrixbootstrap AT anindasinha celestialinsightsintothesmatrixbootstrap |