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Effective Theory Analysis of Precision Electroweak Data

Zhenyu Han, Witold Skiba

Abstract

We obtain the bounds on arbitrary linear combinations of operators of dimension 6 in the Standard Model. We consider a set of 21 flavor and CP conserving operators. Each of our 21 operators is tightly constrained by the standard set of electroweak measurements. We perform a fit to all relevant precision electroweak data and include neutrino scattering experiments, atomic parity violation, W mass, LEP1, SLD, and LEP2 data. Our results provide an efficient way of obtaining bounds on weakly coupled extensions of the Standard Model.

Effective Theory Analysis of Precision Electroweak Data

Abstract

We obtain the bounds on arbitrary linear combinations of operators of dimension 6 in the Standard Model. We consider a set of 21 flavor and CP conserving operators. Each of our 21 operators is tightly constrained by the standard set of electroweak measurements. We perform a fit to all relevant precision electroweak data and include neutrino scattering experiments, atomic parity violation, W mass, LEP1, SLD, and LEP2 data. Our results provide an efficient way of obtaining bounds on weakly coupled extensions of the Standard Model.

Paper Structure

This paper contains 10 sections, 30 equations, 1 figure, 3 tables.

Table of Contents

  1. Introduction
  2. Operators
  3. Experiments
  4. Calculations
  5. Total $\chi^2$ distribution
  6. Summary
  7. The Matrix
  8. $S$ and $T$ parameters
  9. Bounds on $Z'$ bosons
  10. A brief introduction to Mathematica packages.

Figures (1)

  • Figure 1: Allowed region for $S$ and $T$ at 90% confidence level obtained using Eq. (\ref{['eq:chiST']}).