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| — | preprints:2000:ttp00-10 [2016/03/17 11:03] (current) – created - external edit 127.0.0.1 |
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| | ====== TTP00-10 Using differential equations to compute two-loop box integrals ====== |
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| | <hidden TTP00-10 Using differential equations to compute two-loop box integrals > The calculation of exclusive observables beyond the one-loop level |
| | requires elaborate techniques for the computation of multi-leg two-loop |
| | integrals. We discuss how the large number of different integrals |
| | appearing in actual two-loop calculations can be reduced to a small |
| | number of master integrals. An efficient method to compute these master |
| | integrals is to derive and solve differential equations in the external |
| | invariants for them. As an application of the differential equation |
| | method, we compute the ${\cal O}(\epsilon)$-term of a particular |
| | combination of on-shell massless planar double box integrals, which |
| | appears in the tensor reduction of $2 \to 2$ scattering amplitudes at two |
| | loops. |
| | </hidden> |
| | |**T.Gehrmann, E.Remiddi** | |
| | |** Nuclear Physics B (Proc. Suppl.) 89 251-255 2000 ** | |
| | | {{preprints:2000:ttp00-10.pdf|PDF}} {{preprints:2000:ttp00-10.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0005232|arXiv]] | |
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