Breaking down the entire spectrum of spin correlations of a pair of particles involving fermions and gauge bosons

Abstract

We discuss a formalism for the spin correlations and polarizations in two-particle systems with spins half-half, half-one and one-one, and provide the connections between the polarizations and correlations with the joint angular distributions of decay products identifying the asymmetries for them. We demonstrate the formalism in the processes $e^{-}{e}^{+}\to t\bar{t}$, $gb\to t{W}^{-}$ and $e^{-}{e}^{+}\to ZZ$ in the standard model as examples. We investigate the effect of some anomalous couplings on the polarizations and spin correlations in the processes $e^{-}{e}^{+}\to t\bar{t}$, $gb\to t{W}^{-}$ and $u\bar{d}\to Z{W}^{+}$ at parton level and compare their strengths. The spin correlations have the potential to provide a significant improvement over the polarizations in probing the anomalous couplings.

32 pages, 5 figures, and 3 tables

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Cited by in corpus (17)

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• Bell inequalities and quantum entanglement in weak gauge bosons production at the LHC and future colliders
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling
• New observables for testing Bell inequalities in $W$ boson pair production
• From angular coefficients to quantum observables: a phenomenological appraisal in di-boson systems
• NLO QCD corrections to polarised di-boson production in semi-leptonic final states
• Quantum properties of $H\to V{V}^{\ast }$: precise predictions in the SM and sensitivity to new physics
• Quantum tomography of helicity states for general scattering processes
• Amplitude-assisted tagging of longitudinally polarised bosons using wide neural networks
• On two-body and three-body spin correlations in leptonic $t\bar{t}Z$ production and anomalous couplings at the LHC
• Quantum Entanglement is Quantum: ZZ Production at the LHC
• Polarized-boson pairs at NLO in the SMEFT
• Role of polarizations and spin-spin correlations of $W^{\prime }s$ in $e^{-}{e}^{+}\to W^{-}{W}^{+}$ at $\sqrt{s}=250$ GeV to probe anomalous $W^{-}{W}^{+}Z/\gamma$ couplings
• Probing top quark anomalous moments in $W$ boson associated single top quark production at the LHC using polarization and spin correlation
• Particle Collisions & Quantum Entanglement in High-Energy Collisions
• Probing CP-violating Higgs-Gauge couplings with Higgsstrahlung at $e^{-}{e}^{+}$ collider