Determining the CP parity of Higgs bosons at the LHC in the $τ$ to 1-prong decay channels

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We propose a method for determining the CP nature of a neutral Higgs boson or spin-zero resonance $ϕ$ at the CERN Large Hadron Collider (LHC) in its $ϕ\toτ^{-}τ^{+}$ decay channel. The method can be applied to any 1-prong $τ$-decay mode, which comprise the majority of the $τ$-lepton decays. The proposed observables allow to discriminate between pure scalar and pseudoscalar Higgs-boson states and/or between a CP-conserving and CP-violating Higgs sector. We show for the decays $τ\toπν_τ$ that the method maintains its discriminating power when measurement uncertainties are taken into account. The method will be applicable also at a future linear $e^{+}e^{-}$ collider.
Latex, 15 pages, 6 figures

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