The Standard Model at 200 GeV

Abstract

The Standard Model can be defined quantitatively by running parameters in a mass-independent renormalization scheme at a fixed reference scale. We provide a set of simple interpolation formulas that give the fundamental Lagrangian parameters in the $\overline{\mathrm{MS}}$ scheme at a renormalization scale of 200 GeV, safely above the top-quark mass and suitable for matching to candidate new physics models at very high mass scales using renormalization group equations. These interpolation formulas take as inputs the on-shell experimental quantities, and use the best available calculations in the pure $\overline{\mathrm{MS}}$ scheme. They also serve as an accounting of the parametric uncertainties for the short-distance Standard Model Lagrangian. We also include an interpolating formula for the W boson mass.

18 pages, python code included as ancillary file

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• Quark mass relations to four-loop order
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Four-Loop QCD Corrections to the Rho Parameter
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• Effective potential at three loops
• Gauge coupling beta functions to four-loop order in the Standard Model
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Pole mass of the W boson at two-loop order in the pure MS-bar scheme
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Three-loop QCD corrections to the electroweak boson masses
• On the four-loop strong coupling beta-function in the SM
• O(αα_s) relation between pole- and MS-mass of the t-quark

Cited by in corpus (6)

• LePDF: Standard Model PDFs for High-Energy Lepton Colliders
• Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
• One-loop Renormalization of the Type-I Seesaw Model in the Modified Minimal-subtraction Scheme
• Stability of the Higgs Potential in the Standard Model and Beyond