Laurent series expansion of sunrise-type diagrams using configuration space techniques

Abstract

We show that configuration space techniques can be used to efficiently calculate the complete Laurent series \eps-expansion of sunrise-type diagrams to any loop order in D-dimensional space-time for any external momentum and for arbitrary mass configurations. For negative powers of \eps the results are obtained in analytical form. For positive powers of \eps including the finite \eps^0 contribution the result is obtained numerically in terms of low-dimensional integrals. We present general features of the calculation and provide exemplary results up to five loop order which are compared to available results in the literature.

20 pages, 3 eps-figures included

Cited by in corpus (8)

• Strong-coupling expansion of cusp anomaly from quantum superstring
• A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
• Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current
• Heavy baryon properties with NLO accuracy in perturbative QCD
• Near threshold expansion of Feynman diagrams
• Hadronic vacuum polarization to three loops in chiral perturbation theory
• Position-space representation of charged particles' propagators in a constant magnetic field as an expansion over Landau levels