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

  • Martin S
  • Robertson D
  • 13

    Readers

    Mendeley users who have this article in their library.
  • 65

    Citations

    Citations of this article.

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. © 2005 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Dimensional regularization
  • Feynman integrals
  • Quantum field theory
  • Self-energy corrections
  • Two-loop integrals

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Stephen P. Martin

  • David G. Robertson

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free