The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
| Title: | The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case |
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| Authors: | Adams, Luise, Bogner, Christian, Weinzierl, Stefan |
| Publication Year: | 2015 |
| Collection: | Mathematics High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics |
| Subject Terms: | High Energy Physics - Phenomenology, High Energy Physics - Theory, Mathematical Physics |
| More Details: | We present the result for the finite part of the two-loop sunrise integral with unequal masses in four space-time dimensions in terms of the ${\mathcal O}(\varepsilon^0)$-part and the ${\mathcal O}(\varepsilon^1)$-part of the sunrise integral around two space-time dimensions. The latter two integrals are given in terms of elliptic generalisations of Clausen and Glaisher functions. Interesting aspects of the result for the ${\mathcal O}(\varepsilon^1)$-part of the sunrise integral around two space-time dimensions are the occurrence of depth two elliptic objects and the weights of the individual terms. Comment: 31 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/1504.03255 |
| Accession Number: | edsarx.1504.03255 |
| Database: | arXiv |
| Description not available. |