Observing spin correlations at the LHC

Baptiste Ravina; Ethan Simpson; James Howarth

doi:10.1140/epjc/s10052-021-09605-8

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 809
https://doi.org/10.1140/epjc/s10052-021-09605-8

Regular Article - Theoretical Physics

Observing $t \bar{t} Z$ $t{\bar{t}}Z$ spin correlations at the LHC

Baptiste Ravina^a, Ethan Simpson and James Howarth

School of Physics and Astronomy, University of Glasgow, G12 8QQ, Glasgow, UK

^a baptiste.ravina@cern.ch

Received: 25 June 2021
Accepted: 28 August 2021
Published online: 13 September 2021

Abstract

Spin correlations in the production of top-antitop quark ( $t \bar{t}$ $t{\bar{t}}$ ) pairs at the Large Hadron Collider (LHC) are an experimentally verified prediction of the Standard Model. In this paper, we compute the full spin density matrix for $t \bar{t} Z$ $t{\bar{t}}Z$ production at next-to-leading order precision in QCD, for center-of-mass energies of 13 and 14 $TeV$ $\text {TeV}$ . We find that the additional emission of a Z boson leads to significantly different spin correlations with respect to the $t \bar{t}$ $t{\bar{t}}$ case, and induces small longitudinal polarisations of the top quarks. We further propose an analysis strategy that could lead to the observation of spin correlations in $t \bar{t} Z$ $t{\bar{t}}Z$ events at the end of Run 3 of the LHC, or possibly earlier by combining the ATLAS and CMS datasets. In addition, we show that the pure angular information contained in the spin density matrix provides novel constraints on the dimension-6 effective field theory operators relevant to the t-Z interaction, without any reference to the total production rates.

© The Author(s) 2021

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