Multiloop Bubbles for hot QCD
arXiv:0810.3097 · doi:10.1016/j.nuclphysa.2009.01.065
Abstract
In this article, we present analytical expansion results of two single mass scale four-loop vacuum integrals in d=3-2*ep dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.
4 pages, to appear in the Proceedings of SEWM08, Amsterdam, the Netherlands, August 26-29, 2008
References in corpus (10)
- New features of FORM
- Harmonic sums, Mellin transforms and Integrals
- Effective Field Theory Approach to High-Temperature Thermodynamics
- HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
- Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
- HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
- - XSummer - Transcendental Functions and Symbolic Summation in Form
- Expansion around half-integer values, binomial sums and inverse binomial sums
- Symbolic Expansion of Transcendental Functions
- Automatic reduction of four-loop bubbles