On $\varepsilon$-factorised bases and pure Feynman integrals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909221298110464 |
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| author | Frellesvig, Hjalte Weinzierl, Stefan |
| author_facet | Frellesvig, Hjalte Weinzierl, Stefan |
| contents | We investigate $\varepsilon$-factorised differential equations, uniform transcendental weight and purity for Feynman integrals. We are in particular interested in Feynman integrals beyond the ones which evaluate to multiple polylogarithms. We show that a $\varepsilon$-factorised differential equation does not necessarily lead to Feynman integrals of uniform transcendental weight. We also point out that a proposed definition of purity works locally, but not globally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02264 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On $\varepsilon$-factorised bases and pure Feynman integrals Frellesvig, Hjalte Weinzierl, Stefan High Energy Physics - Theory Mathematical Physics We investigate $\varepsilon$-factorised differential equations, uniform transcendental weight and purity for Feynman integrals. We are in particular interested in Feynman integrals beyond the ones which evaluate to multiple polylogarithms. We show that a $\varepsilon$-factorised differential equation does not necessarily lead to Feynman integrals of uniform transcendental weight. We also point out that a proposed definition of purity works locally, but not globally. |
| title | On $\varepsilon$-factorised bases and pure Feynman integrals |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2301.02264 |