Calculation of Massless Feynman Integrals using Harmonic Sums
Stefan Bekavac
Abstract
A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the evaluation of nested and harmonic sums are used to reduce the expressions to get analytical or numerical results for the expansion coefficients. Methods to increase the precision of numerical results are discussed.
Create a lesson
Related papers
First-principle predictions of fragmentation functions via quantum computing
Juan J. Gálvez-Viruet, Felipe J. Llanes-Estrada, Nicolas M. Arenaza et al.
High energy thermal photons from chirally imbalanced QGP
Sourav Duari, Nilanjan Chaudhuri, Pradip Roy et al.
Spin-dependent fermion potentials from mixed tensor couplings of massive spin-1 and spin-2 bosons
D. Khadka, V. V. Flambaum
Building a Better Beta: Nucleation and Timescales in Cosmological Phase Transitions
William Searle, Csaba Balázs
Quantum Steering Geometry at High Energy Particle Colliders
Juan J. Mejia Alvarez, Andrew J. Wildridge, Angelo Arisi et al.
Quantum-statistical effects of bosonic warm dark matter in microscopic interacting dark sectors
Zhijian Zhang