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Four-loop two-mass tadpoles and the rho parameter

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arxiv 2407.21700 v1 pith:VIJRT57B submitted 2024-07-31 hep-ph

Four-loop two-mass tadpoles and the $\rho$ parameter

classification hep-ph
keywords four-looploopsparameterappearcalculatecalculationclassescontribute
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We calculate four-loop QCD corrections to the electroweak $\rho$ parameter with a non-vanishing $b$ quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. This prompts the question of which classes of functions appear at the next order. We report on the status of our calculation with a focus on the mathematical structures that emerge at four loops.

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