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mr: a C++ library for the matching and running of the Standard Model parameters
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abstract
We present the C++ program library mr that allows us to reliably calculate the values of the running parameters in the Standard Model at high energy scales. The initial conditions are obtained by relating the running parameters in the $\overline{\mathrm{MS}}$ renormalization scheme to observables at lower energies with full two-loop precision. The evolution is then performed in accordance with the renormalization group equations with full three-loop precision. Pure QCD corrections to the matching and running are included through four loops. We also provide a Mathematica interface for this program library.
Forward citations
Cited by 3 Pith papers
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Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme
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.
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Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
Four-loop Standard Model gauge beta functions are confirmed by a direct Feynman-diagram calculation, and four-loop gauge-field anomalous dimensions are computed for the first time.
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Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners
The two-loop QCD threshold corrections that mix strong and electroweak couplings in the MSSM Higgs-mass EFT calculation are computed for the first time, completing the two-loop QCD matching at the SUSY scale.
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