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Standard model at 200 GeV

Zamiul Alam, Stephen P. Martin

2023Physical review. D/Physical review. D.13 citationsDOIOpen Access PDF

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. This paper is based on results obtained with the publicly available computer program smdr.

Topics & Concepts

RenormalizationPhysicsInterpolation (computer graphics)Particle physicsStandard Model (mathematical formulation)Physics beyond the Standard ModelScale (ratio)Matching (statistics)Renormalization groupQuarkSimple (philosophy)Scheme (mathematics)Mathematical physicsMathematicsClassical mechanicsQuantum mechanicsMathematical analysisStatisticsArchaeologyEpistemologyGauge (firearms)HistoryMotion (physics)PhilosophyParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research
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