The setting sun diagram with complex external momenta
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918086417842176 |
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| author | Dudal, David van Egmond, Duifje Maria Krein, Gastao |
| author_facet | Dudal, David van Egmond, Duifje Maria Krein, Gastao |
| contents | We revisit the issue of analytically continuing Feynman integrals from Euclidean to Minkowski signature, allowing for generic complex momenta. Although this is well-known in terms of the Källén-Lehmann representation, we consider potential alternative takes on the same problem and discuss how these are not necessarily equivalent to the Källén-Lehmann integral outcome. We present our analysis for a simple enough case -- the setting sun diagram in $d=2$ with a real mass -- but already with an eye out to the more general case with complex masses which will further complicate matters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The setting sun diagram with complex external momenta Dudal, David van Egmond, Duifje Maria Krein, Gastao High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology We revisit the issue of analytically continuing Feynman integrals from Euclidean to Minkowski signature, allowing for generic complex momenta. Although this is well-known in terms of the Källén-Lehmann representation, we consider potential alternative takes on the same problem and discuss how these are not necessarily equivalent to the Källén-Lehmann integral outcome. We present our analysis for a simple enough case -- the setting sun diagram in $d=2$ with a real mass -- but already with an eye out to the more general case with complex masses which will further complicate matters. |
| title | The setting sun diagram with complex external momenta |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.05921 |