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High Energy Physics - Phenomenology

arXiv:hep-ph/0501132 (hep-ph)
[Submitted on 15 Jan 2005 (v1), last revised 17 May 2016 (this version, v6)]

Title:TSIL: a program for the calculation of two-loop self-energy integrals

Authors:Stephen P. Martin, David G. Robertson
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Abstract:TSIL is a library of utilities for the numerical calculation of dimensionally regularized two-loop self-energy integrals. A convenient basis for these functions is given by the integrals obtained at the end of O.V. Tarasov's recurrence relation algorithm. The program computes the values of all of these basis functions, for arbitrary input masses and external momentum. When analytical expressions in terms of polylogarithms are available, they are used. Otherwise, the evaluation proceeds by a Runge-Kutta integration of the coupled first-order differential equations for the basis integrals, using the external momentum invariant as the independent variable. The starting point of the integration is provided by known analytic expressions at (or near) zero external momentum. The code is written in C, and may be linked from C, C++, or Fortran. A Fortran interface is provided. We describe the structure and usage of the program, and provide a simple example application. We also compute two new cases analytically, and compare all of our notations and conventions for the two-loop self-energy integrals to those used by several other groups.
Comments: 31 pages. Updated to reflect new functionality through v1.4 May 2016 and new information about use with C++. Source code and documentation are available at this http URL or this http URL
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-ph/0501132
  (or arXiv:hep-ph/0501132v6 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0501132
Journal reference: Comput.Phys.Commun. 174 (2006) 133-151
Related DOI: https://doi.org/10.1016/j.cpc.2005.08.005

Submission history

From: Stephen P. Martin [view email]
[v1] Sat, 15 Jan 2005 03:32:56 UTC (29 KB)
[v2] Tue, 1 Mar 2005 19:31:12 UTC (30 KB)
[v3] Thu, 2 Nov 2006 15:40:00 UTC (31 KB)
[v4] Tue, 15 Jul 2014 19:59:20 UTC (31 KB)
[v5] Mon, 15 Jun 2015 19:34:11 UTC (32 KB)
[v6] Tue, 17 May 2016 03:07:21 UTC (32 KB)
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