The Standard Model at 200 GeV

TL;DR

This paper provides simple interpolation formulas to determine the Standard Model parameters at 200 GeV in the ar{ m MS} scheme, facilitating high-scale model matching and uncertainty analysis.

Contribution

It introduces interpolation formulas for Standard Model parameters at 200 GeV in the ar{ m MS} scheme based on experimental data and calculations.

Findings

Interpolation formulas for ar{ m MS} parameters at 200 GeV

Accounting of parametric uncertainties in the Standard Model

Interpolating formula for the W boson mass

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 $\bar{\rm MS}$ 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 $\bar{\rm MS}$ 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.