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 Λ . Estimates on sensitivities of the coupling strength of such interactions for 13 TeV LHC energy with ∫ L d t = 36.1   f b − 1 , 140   f b − 1 and for HL-LHC with 14 TeV energy with integrated luminosities of 0.3   a b − 1 , 1   a b − 1 , 2   a b − 1 , and 3   a b − 1 are also presented for Λ ranging between M W and 2 TeV.

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In this study, we explore the effects of C𝑃-violating anomalous interactions of the top-quark through the semileptonic decay modes of the top-quark arising due to pair-production of 𝑡 t at the Large Hardon Collider. Predictions on the LHC sensitivities of the coupling strength to such C𝑃-violating interactions would be discussed for the 13 TeV LHC data and for the future hadron collider with 14 TeV energy.

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