Cosmological Weight-Shifting Matrices
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910270748622848 |
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| author | de Korte, Claire Goodhew, Harry Vaziri, Kamran Salehi Weiss, Nicolas |
| author_facet | de Korte, Claire Goodhew, Harry Vaziri, Kamran Salehi Weiss, Nicolas |
| contents | We construct matrices that shift the scaling dimension of scalar fields for arbitrary de Sitter Feynman diagrams. Acting on a set of master integrals, these weight-shifting matrices shift the scaling dimensions of individual edges of a given diagram by an integer. They can thus be applied to a broader range of problems and are simpler to implement than earlier derivative-based approaches. By introducing a Kronecker product representation of our matrix formulation, we generalise weight-shifting operators beyond four-point functions to arbitrary tree-level diagrams. As an application, we obtain explicit expressions for several massless wavefunction coefficients in four-dimensional de Sitter space, starting from conformally coupled seed functions. Our construction provides a systematic and graph-local approach to generating cosmologically relevant correlators from simpler master integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30475 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cosmological Weight-Shifting Matrices de Korte, Claire Goodhew, Harry Vaziri, Kamran Salehi Weiss, Nicolas High Energy Physics - Theory We construct matrices that shift the scaling dimension of scalar fields for arbitrary de Sitter Feynman diagrams. Acting on a set of master integrals, these weight-shifting matrices shift the scaling dimensions of individual edges of a given diagram by an integer. They can thus be applied to a broader range of problems and are simpler to implement than earlier derivative-based approaches. By introducing a Kronecker product representation of our matrix formulation, we generalise weight-shifting operators beyond four-point functions to arbitrary tree-level diagrams. As an application, we obtain explicit expressions for several massless wavefunction coefficients in four-dimensional de Sitter space, starting from conformally coupled seed functions. Our construction provides a systematic and graph-local approach to generating cosmologically relevant correlators from simpler master integrals. |
| title | Cosmological Weight-Shifting Matrices |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.30475 |