Accurate Estimation of the Trilinear Gauge Couplings Using Optimal Observables Including Detector Effects

TL;DR

This paper develops maximum likelihood estimators for Trilinear Gauge Couplings that incorporate detector effects, demonstrating their efficiency and unbiasedness through Monte Carlo simulations of e+ e- collision events.

Contribution

It introduces optimal estimators for gauge couplings including detector effects and evaluates their performance with simulated data.

Findings

Estimators are nearly optimal in efficiency.

Estimators are unbiased and consistent.

Performance validated with Monte Carlo simulations.

Abstract

This paper describes the definition of maximum likelihood equivalent estimators of the Trilinear Gauge Couplings which include detector effects. The asymptotic properties of these estimators as well as their unbiasedness and efficiency when dealing with finite statistical samples are demonstrated by Monte Carlo experimentation, using simulated events corresponding to the production of q qbar lepton neutrino in e+ e- collisions at 172 GeV. Emphasis is given to the determination of the expected efficiencies in extracting the aWphi, aW and aBphi couplings from LEPII data, which in this particular case found to be close to the maximum possible.