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The Massive Thermal Basketball Diagram

High Energy Physics - Phenomenology 2009-10-31 v3

Abstract

The "basketball diagram" is a three-loop vacuum diagram for a scalar field theory that cannot be expressed in terms of one-loop diagrams. We calculate this diagram for a massive scalar field at nonzero temperature, reducing it to expressions involving three-dimensional integrals that can be easily evaluated numerically. We use this result to calculate the free energy for a massive scalar field with a phi^4 interaction to three-loop order.

Keywords

Cite

@article{arxiv.hep-ph/0002048,
  title  = {The Massive Thermal Basketball Diagram},
  author = {Jens O. Andersen and Eric Braaten and Michael Strickland},
  journal= {arXiv preprint arXiv:hep-ph/0002048},
  year   = {2009}
}

Comments

19 pages, 3 figures