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Tackling the infamous g⁶ term of the QCD pressure

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arxiv 2207.10151 v2 pith:ULFBWFMI submitted 2022-07-20 hep-ph nucl-th

Tackling the infamous g⁶ term of the QCD pressure

classification hep-ph nucl-th
keywords pressuresum-integralsalreadybeenclasscontributingcorrespondingdecompose
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report on ongoing efforts to tackle an important open problem in QCD thermodynamics, namely an evaluation of the pressure to order $g^6$ in a weak-coupling expansion, corresponding to four loops. In particular, we identify a class of contributing Feynman sum-integrals with lower-loop factors, describe the formalism to tensor decompose those, and manage to map them onto scalar master sum-integrals that have already been evaluated in the literature.

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Cited by 1 Pith paper

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    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...