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arxiv: hep-ph/0002048 · v3 · submitted 2000-02-04 · ✦ hep-ph

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The Massive Thermal Basketball Diagram

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classification ✦ hep-ph
keywords diagramfieldmassivescalarbasketballcalculatethree-loopcannot
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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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