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A new three-loop sum-integral of mass dimension two

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arxiv 1207.6214 v1 pith:BYEOBWF2 submitted 2012-07-26 hep-ph hep-th

A new three-loop sum-integral of mass dimension two

classification hep-ph hep-th
keywords masssum-integralanalyticallycontributesdebyederivedimensiondivergences
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We evaluate a new 3-loop sum-integral which contributes to the Debye screening mass in hot QCD. While we manage to derive all divergences analytically, its finite part is mapped onto simple integrals and evaluated numerically.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. SIRENA -- Sum-Integral REductioN Algorithm

    hep-ph 2026-05 unverdicted novelty 7.0

    SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-l...

  2. Hard thermal contributions to phase transition observables at NNLO

    hep-ph 2026-02 conditional novelty 6.0

    Three-loop thermal masses and two-loop quartic couplings complete the O(g^6) high-temperature EFT of U(1) and SU(N) gauge-Higgs models, with a missing contribution identified in a known three-loop master integral.