Abstract
A study of the top quark \emph{Flavour Changing Neutral Current} (FCNC) through $Z$-boson has been performed in the proposed future $e^-p$ collider for the energy, $E_{e(p)} = 60~(7000)$~GeV. We considered an effective theory where the anomalous FCNC couplings are of vector and tensor nature. The effect of these couplings is probed in the single top production along with the scattered electron. The polar angle $\theta$ of the electrons coming out of the primary vertex in association with the top quark polarization asymmetries constructed from the angular distribution of the secondary lepton arising from the top decay, allow to distinguish the Lorentz structure of the coupling. From a multi-parameter analysis, we obtain a reach of ${\cal O} (10^{-2})$ in the case of $Ztu$ and $Ztc$ couplings at an integrated luminosity of 2~ab$^{-1}$ at 95\% C.L.
Highlights
In the aftermath of the top quark discovery at the Tevatron, its properties like spin, charge, couplings with the other Standard Model (SM) particles etc. conform the SM values
In this article we have focused our attention on the flavor changing neutral current (FCNC) couplings of the top quark with the Z boson
Markov Chain Monte Carlo (MCMC) technique is used for these analyses, with the cross section and asymmetries considered as observables
Summary
In the aftermath of the top quark discovery at the Tevatron, its properties like spin, charge, couplings with the other Standard Model (SM) particles etc. conform the SM values. With a choice of electron energy of Ee 1⁄4 60 GeV, along with an available energy of LHC proton ofpEffiffip 1⁄4 7 TeV, would provide a center of mass energy of s ≈ 1.3 TeV at the LHeC Its design is such that the e−p and pp colliders will operate simultaneously. The LHeC would gain advantage over the LHC or the Future Circular Collider for proton-proton (FCC-pp) [9] as (1) initial states are asymmetric and backward and forward scattering can be disentangled, (2) it provides a clean environment with suppressed backgrounds from strong interaction processes and free from issues like pile-ups, multiple interactions etc., (3) such machines are known for high precision measurements of the dynamical properties of the proton allowing simultaneous test of EW and QCD effects.
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