Disentangling Higgs-Top Couplings in Associated Production

Abstract

In the presence of CP violation, the Higgs-top coupling may have both scalar and pseudoscalar components, ${\kappa }_t$ and ${\tilde{\kappa }}_t$, which are bounded indirectly but only weakly by the present experimental constraints on the Higgs-gluon-gluon and Higgs-$\gamma$-$\gamma$ couplings, whereas upper limits on electric dipole moments provide strong additional indirect constraints on ${\tilde{\kappa }}_t$, if the Higgs-electron coupling is similar to that in the Standard Model and there are no cancellations with other contributions. We discuss methods to measure directly the scalar and pseudoscalar Higgs-top couplings by measurements of Higgs production in association with $\bar{t}t$, single $t$ and single $\bar{t}$ at the LHC. Measurements of the total cross sections are very sensitive to variations in the Higgs-top couplings that are consistent with the present indirect constraints, as are invariant mass distributions in $\bar{t}tH$, $tH$ and $\bar{t}H$ final states. We also investigate the additional information on ${\kappa }_t$ and ${\tilde{\kappa }}_t$ that could be obtained from measurements of the longitudinal and transverse $t$ polarization in the different associated production channels, and the $\bar{t}t$ spin correlation in $\bar{t}tH$ events.

19 pages, 11 figures

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