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preprints:2006:ttp06-02 [2016/03/17 11:03] (current)
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 +====== TTP06-02 ep-Finite Basis of Master Integrals for the Integration-By-Parts Method ====== 
 +  
 +  
 +      <hidden TTP06-02 ​ ep-Finite Basis of Master Integrals for the Integration-By-Parts Method > It is shown that for every problem within dimensional regularization,​ 
 + using the Integration-By-Parts method, one 
 + is able to construct a set of master integrals ​  
 + such that each corresponding coefficient 
 + ​function is finite in the limit of dimension equal to four. We 
 + argue that the use of such a basis simplifies and stabilizes the 
 + ​numerical evaluation of the master integrals. As an example we 
 + ​explicitly construct the ep-finite basis for the set of all QED-like 
 + ​four-loop massive tadpoles. Using a semi-numerical approach based on 
 + Pade approximations we evaluate analytically the divergent and 
 + ​numerically the finite part of this set of master integrals. 
 +  
 + The calculations confirm the recent results of Schroder and 
 + ​Vuorinen. All the contributions found there by fitting the high 
 + ​precision numerical results have been confirmed by direct analytical 
 + ​calculation without using any numerical input. ​  
 + </​hidden>​ 
 +|**K.G. Chetyrkin, M. Faisst, C. Sturm, and M. Tentioukov** ​ |  
 +|**  Nuclear Physics ​ B742 208-229 2006  **  | 
 +| {{preprints:​2006:​ttp06-02.pdf|PDF}} {{preprints:​2006:​ttp06-02.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0601165|arXiv]] [[http://​ttp.kit.edu/​Progdata/​ttp06/​ttp06-02|Programs and Data]] ​  | 
 +| |