The Massive Thermal Basketball Diagram

Details The Massive Thermal Basketball Diagram The Massive Thermal Basketball Diagram

2000-02-04

arxiv.org/abs/hep-ph/0002048v3

Phys.Rev. D62 (2000) 045004

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 3 figures

Scientific paper

10.1103/PhysRevD.62.045004

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.

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