Spin Correlations in $t{\bar t}$ Production and Decay at the LHC in QCD Perturbation Theory

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Hauptverfasser: Nason, Paolo, Re, Emanuele, Rottoli, Luca
Format: Preprint
Veröffentlicht: 2025
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author Nason, Paolo
Re, Emanuele
Rottoli, Luca
author_facet Nason, Paolo
Re, Emanuele
Rottoli, Luca
contents In this work we consider the QCD predictions for spin correlations in $t\bar{t}$ production in hadronic collisions. In view of recent tensions between experimental data and theoretical calculations, it has been argued that one should include in the predictions also the effects of the production of the $η_t$, i.e. the pseudoscalar $t\bar{t}$ bound state, or alternatively the full effects of the non-relativistic dynamics of the $t\bar{t}$ pair near threshold. This implies the resummation of all corrections that scale like powers of $α_s/v$ (where $v$ is the velocity of the top quark in the $t\bar{t}$ rest frame) which are dominated by values of $v$ of order $α_s$. In this work, we show that, since the observables that are usually considered for these studies are integrated cross sections up to a $t\bar{t}$ mass cut that is not small, it is possible to perform the calculation using perturbation theory, considering only the contributions that scale as the first few powers of $α_s/v$. We examine the implications of our approach by computing corrections to nominal Monte Carlo results for correlation-sensitive observables, and compare them with available data, showing that the tension with data is no longer present.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00096
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spin Correlations in $t{\bar t}$ Production and Decay at the LHC in QCD Perturbation Theory
Nason, Paolo
Re, Emanuele
Rottoli, Luca
High Energy Physics - Phenomenology
High Energy Physics - Experiment
In this work we consider the QCD predictions for spin correlations in $t\bar{t}$ production in hadronic collisions. In view of recent tensions between experimental data and theoretical calculations, it has been argued that one should include in the predictions also the effects of the production of the $η_t$, i.e. the pseudoscalar $t\bar{t}$ bound state, or alternatively the full effects of the non-relativistic dynamics of the $t\bar{t}$ pair near threshold. This implies the resummation of all corrections that scale like powers of $α_s/v$ (where $v$ is the velocity of the top quark in the $t\bar{t}$ rest frame) which are dominated by values of $v$ of order $α_s$. In this work, we show that, since the observables that are usually considered for these studies are integrated cross sections up to a $t\bar{t}$ mass cut that is not small, it is possible to perform the calculation using perturbation theory, considering only the contributions that scale as the first few powers of $α_s/v$. We examine the implications of our approach by computing corrections to nominal Monte Carlo results for correlation-sensitive observables, and compare them with available data, showing that the tension with data is no longer present.
title Spin Correlations in $t{\bar t}$ Production and Decay at the LHC in QCD Perturbation Theory
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2505.00096