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We consider top-antitop quark (t t) production at the Large Hadron Collider (LHC) with subsequent decays into dileptonic final states. We use and investigate a set of leptonic angular correlations and distributions with which all the independent coefficient functions of the top-spin dependent parts of the t t production spin density matrices can be experimentally probed. We compute these observables for the LHC center-of-mass energy 13. 6 TeV within the Standard Model at next-to-leading order in the QCD coupling including the mixed QCD-weak corrections. We determine also the t t charge asymmetry where we take in addition also the mixed QCD-QED corrections into account. In addition we analyze and compute possible new physics (NP) effects on these observables in terms of a gauge-invariant effective Lagrangian that contains the operators up to mass dimension six that are relevant for hadronic (t t) production. First we compute our observables inclusive in phase space. In order to investigate which region in phase space has, for a specific observable, a high NP sensitivity, we determine our observables also in two-dimensional (Mₓ ₓ, ₜ^*) bins, where Mₓ ₓ denotes the t t invariant mass and ₜ^* is the top-quark scattering angle in the t t zero-momentum frame.
Bernreuther et al. (Thu,) studied this question.