Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

Details Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

2009-11-02

arxiv.org/abs/0911.0252v2

Nucl.Phys.B830:474-492,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Several misprints corrected

Scientific paper

10.1016/j.nuclphysb.2009.12.025

We show that dimensional recurrence relation and analytical properties of the
loop integrals as functions of complex variable $\mathcal{D}$ (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.

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