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preprints:2000:ttp00-10 [2016/03/17 11:03] (current)
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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]] ​  | 
 +| |