About higher order epsilon-expansion of some massive two- and three-loop master-integrals

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M.Yu.Kalmykov (Baylor U. & JINR , Dubna) This is my paper · ORCID

classification hep-phhep-thmath-phmath.MP

keywords epsilon-expansionhighermassiveorderthree-looptwo-certainconstructed

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For certain dimensionally-regulated massive two- and three-loop propagator-type diagrams the higher order epsilon-expansion is constructed.

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Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme
hep-ph 2025-07 conditional novelty 7.0 of 10

The leading three-loop corrections to the Fermi decay constant in the pure MS scheme are computed, shifting the Standard Model Higgs VEV down by about 3.5 MeV and cutting residual scale dependence to below 2e-6.