Abstract

We study the anomalous trilinear gauge couplings of $Z$ and $\gamma$ using a complete set of polarization asymmetries for the $Z$ boson in $e^+e^-\to ZZ/Z\gamma$ processes with unpolarized initial beams. We use these polarization asymmetries, along with the cross section, to obtain a simultaneous limit on all the anomalous couplings using the Markov-Chain--Monte-Carlo (MCMC) method. For an $e^+e^-$ collider running at $500$ GeV center-of-mass energy and $100$ fb$^{-1}$ of integrated luminosity the simultaneous limits on the anomalous couplings are $1\sim3\times 10^{-3}$.

Highlights

  • The Standard Model (SM) of particle physics is a wellestablished theory and its particle spectrum has been completed with the discovery of the Higgs boson [1] at the Large Hadron Collider (LHC)

  • We focus on the precise measurement of trilinear gauge boson couplings, in a model independent way, at the proposed International Linear Collider (ILC) [2,3]

  • There are two ways to study these anomalous couplings in a model independent way: The first way is to write down an effective vertex using the most general set of tensorial structures for it satisfying Lorentz invariance, U (1)em invariance, and Bose symmetry weighted by corresponding CP-even/odd form factors [4,5,6]

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Summary

Introduction

The Standard Model (SM) of particle physics is a wellestablished theory and its particle spectrum has been completed with the discovery of the Higgs boson [1] at the Large Hadron Collider (LHC). There are two ways to study these anomalous couplings in a model independent way: The first way is to write down an effective vertex using the most general set of tensorial structures for it satisfying Lorentz invariance, U (1)em invariance, and Bose symmetry weighted by corresponding CP-even/odd form factors [4,5,6]. Eight polarization parameters for a massive spin-1 particle have been discussed earlier in the context of anomalous trilinear gauge couplings [47,48], for the spin measurements studies [46] and to study processes involving W ± bosons [49]. In this work we will investigate all anomalous couplings (up to dimension-6 operators) of Eq (1) in the processes e+e− → Z Z /Z γ with the help of the total cross section and the 8-polarization asymmetry of the final state Z boson

TeV f5γ
The production and decay density matrices
Estimation of polarization parameters
Anomalous Lagrangian and their probes
Parametric dependence of asymmetries on anomalous couplings
Sensitivity and limits on anomalous couplings
Two-parameter sensitivity analysis
Likelihood mapping of parameter space
Separability of benchmark points
Conclusions
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