Lab-frame observables for probing the top-Higgs interaction
Fawzi Boudjema, Rohini M. Godbole, Diego Guadagnoli, Kirtimaan A., Mohan

TL;DR
This paper explores lab-frame observables to determine the CP properties of the top-Higgs interaction at the LHC, proposing new kinematic and CP-odd observables that can directly probe the coupling's nature.
Contribution
It introduces lab-frame based observables, including a CP-odd asymmetry, to directly investigate the CP structure of the top-Higgs coupling at the LHC.
Findings
Lab-frame observables can effectively probe the CP nature of the $ t\bar{t}h $ coupling.
A new CP-odd quantity and asymmetry are proposed for detecting CP violation.
Constraints from low-energy and Higgs-rate data are insufficient for conclusive determination.
Abstract
We investigate methods to explore the CP nature of the coupling at the LHC, focusing on associated production of the Higgs with a pair. We first discuss the constraints implied by low-energy observables and by the Higgs-rate information from available LHC data, emphasizing that they cannot provide conclusive evidence on the nature of this coupling. We then investigate kinematic observables that could probe the coupling directly, in particular quantities that can be constructed out of just lab-frame kinematics. We define one such observable by exploiting the fact that spin correlations do also carry information about the CP-nature of the coupling. Finally, we introduce a CP-odd quantity and a related asymmetry, able to probe CP violation in the coupling and likewise constructed out of lab-frame momenta only.
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