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High Energy Physics - Phenomenology

arXiv:hep-ph/0505041 (hep-ph)
[Submitted on 6 May 2005]

Title:Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case

Authors:S. Pozzorini, E. Remiddi
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Abstract: We present a double precision routine in Fortran for the precise and fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop sunrise graph for arbitrary momentum transfer in d=2 and d=4 dimensions. The routine implements the accelerated power series expansions obtained by solving the corresponding differential equations for the MIs at their singular points. With a maximum of 22 terms for the worst case expansion a relative precision of better than a part in 10^{15} is achieved for arbitrary real values of the momentum transfer.
Comments: 11 pages, LaTeX. The complete paper is also available via the www at this http URL and the program can be downloaded from this http URL
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: TTP05-06, SFB/CPP-05-14
Cite as: arXiv:hep-ph/0505041
  (or arXiv:hep-ph/0505041v1 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0505041
Journal reference: Comput.Phys.Commun. 175 (2006) 381-387
Related DOI: https://doi.org/10.1016/j.cpc.2006.05.005

Submission history

From: Stefano Pozzorini [view email]
[v1] Fri, 6 May 2005 08:12:54 UTC (11 KB)
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