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hep-phNov 4, 2010
24
citations (OpenAlex)
authors
  • R. N. Lee
  • I. S. Terekhov
institutions
  • Budker Institute of Nuclear Physics
  • Novosibirsk State University
arXiv abstractPDF
paper

Application of the DRA method to the calculation of the four-loop QED-type tadpoles

arXiv:1010.6117 · doi:10.1007/JHEP01(2011)068

Abstract

We apply the DRA method to the calculation of the four-loop `QED-type' tadpoles. For arbitrary space-time dimensionality D the results have the form of multiple convergent sums. We use these results to obtain the epsilon-expansion of the integrals around D=3 and D=4.

References added, some typos corrected. Results unchanged

References in corpus (5)

  • Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
  • Calculating multiloop integrals using dimensional recurrence relation and D-analyticity
  • Heavy-quark QCD vacuum polarisation function: analytical results at four loops
  • Hypergeometric representation of a four-loop vacuum bubble
  • (Zα)4 order of the polarization operator in Coulomb field at low energy

Cited by in corpus (5)

  • A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the MS-pole quark mass relation
  • Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
  • Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study
  • Higgs boson decay into photons at four loops
  • Revisiting the ϕ6 Theory in Three Dimensions at Large N
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