Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D
High Energy Physics - Phenomenology
2010-02-19 v2
Abstract
We show that dimensional recurrence relation and analytical properties of the loop integrals as functions of complex variable (space-time dimensionality) provide a regular way to derive analytical representations of loop integrals. The representations derived have a form of exponentially converging sums. Several examples of the developed technique are given.
Cite
@article{arxiv.0911.0252,
title = {Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D},
author = {R. N. Lee},
journal= {arXiv preprint arXiv:0911.0252},
year = {2010}
}
Comments
Several misprints corrected