Multidimensional Binning Techniques for a Two Parameter Trilinear Gauge Coupling Estimation at LEP II

TL;DR

This paper introduces two advanced multidimensional binning methods to improve the simultaneous estimation of two Trilinear Gauge Couplings at LEP II, demonstrating their effectiveness with W pair production data.

Contribution

It presents novel generalization schemes of the Optimal Variables technique, including an iterative 2D fit and a clustering method in five dimensions.

Findings

Enhanced estimation accuracy for gauge couplings.

Effective handling of multidimensional probability distributions.

Demonstrated improvements with W pair production data.

Abstract

This paper describes two generalization schemes of the Optimal Variables technique in estimating simultaneously two Trilinear Gauge Couplings. The first is an iterative procedure to perform a 2-dimensional fit using the linear terms of the expansion of the probability density function with respect to the corresponding couplings, whilst the second is a clustering method of probability distribution representation in five dimensions. The pair production of W's at 183 GeV center of mass energy, where one W decays leptonically and the other hadronically, was used to demonstrate the optimal properties of the proposed estimation techniques.