Extracting visible $s-$channel Higgs in the lepton scattering

The contributions of $s-$channel Higgs in $l^+ l^- \rightarrow q \bar{q}$ processes in the general lepton collider ($l^+ l^-$ collider) within Standard Model is studied. A new idea to extract the contribution by using the data from both electron and future heavy-lepton colliders at same center-of-mass energy is proposed. Deviations due to the $s-$channel Higgs contributions are analysed and discussed for the heavy-quark final states by using the total cross-section, forward-backward asymmetry and its ratio. It is shown that significant deviations are expected for the top quark final state.

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