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Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion
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Exploring the idea of Broadhurst on the ``sixth root of unity'' we present an ansatz for construction of a basis of transcendental numbers for the epsilon-expansion of single mass scale diagrams with two particle massive cut. As example, several new two- and three-loop master integrals are calculated.
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Cited by 2 Pith papers
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Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme
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Comparison of the EFT Hybrid and Three-Loop Fixed-Order Calculations of the Lightest MSSM Higgs Boson Mass
The FeynHiggs NNLL hybrid and the authors' three-loop fixed-order predictions of the MSSM light Higgs mass agree below 10 TeV, and the measured Higgs mass rules out SUSY scales above 12.5 TeV in the heavy-SUSY, no-mix...
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