Document Type
Article
Publication Date
1-15-2006
Publication Title
Computer Physics Communications
Publisher
Elsevier
Keywords
TSIL, Two-Loop Self-Energy Integrals, Recurrence Regulation Algorithm, Runge-Kutta Integration
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.
First Page
133
Last Page
151
Volume
172
Issue
2
Repository Citation
Martin, Steve P. and Robertson, David G., "TSIL: A Program for the Calculation of Two-Loop Self-Energy Integrals" (2006). Physics Faculty Scholarship. 11.
https://digitalcommons.otterbein.edu/phys_fac/11
Original Citation
Martin, S.P. & Robertson, D.G. (2006). TSIL: A program for the calculation of two-loop self-energy integrals. Computer Physics Communications, 174(2), 133-151. DOI: 10.1016/j.cpc.2005.08.005
DOI
10.1016/j.cpc.2005.08.005
Version
Post-Print
Publisher's Statement
Copyright 2006 Computer Physics Communications
Peer Reviewed
1
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.