T-Odd Anomalous Interactions of the Top-Quark at the Large Hadron Collider

We study the effects of T-odd interactions of top-quark via the pair production of the top-quark in the semileptonic detection modes at the Large Hadron Collider by means of the T-odd observables constructed through the momenta of the observed decay products of the top (and anti-top)-quark for a wide range of CP-violating scale . Estimates on sensitivities of the coupling strength of such interactions for 13 TeV LHC energy with , and for HL-LHC with 14 TeV energy with integrated luminosities of , , , and are also presented for ranging between and 2 TeV.