Notes on off-shell conformal integrals and correlation functions at five points
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910121702981632 |
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| author | Kuo, Chia-Kai Yang, Qinglin |
| author_facet | Kuo, Chia-Kai Yang, Qinglin |
| contents | We study five-point off-shell conformal integrals and the associated half-BPS correlation functions at two loops in the 't Hooft coupling expansion of maximally supersymmetric Yang-Mills theory. We construct a basis of uniform-transcendental (UT) pure integrals spanning six distinct topologies by diagonalizing leading singularities subject to conformal invariance. By fixing conformal frames, this basis can be mapped to known two-loop four-mass integral families. We then compute the integrated results by combining canonical differential equations with integration-by-parts reduction. As an application, we present symbol-level integrated results for the two-loop five-point half-BPS correlators, including both maximal and non-maximal sectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on off-shell conformal integrals and correlation functions at five points Kuo, Chia-Kai Yang, Qinglin High Energy Physics - Theory We study five-point off-shell conformal integrals and the associated half-BPS correlation functions at two loops in the 't Hooft coupling expansion of maximally supersymmetric Yang-Mills theory. We construct a basis of uniform-transcendental (UT) pure integrals spanning six distinct topologies by diagonalizing leading singularities subject to conformal invariance. By fixing conformal frames, this basis can be mapped to known two-loop four-mass integral families. We then compute the integrated results by combining canonical differential equations with integration-by-parts reduction. As an application, we present symbol-level integrated results for the two-loop five-point half-BPS correlators, including both maximal and non-maximal sectors. |
| title | Notes on off-shell conformal integrals and correlation functions at five points |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.21947 |