Prospects of constraining the Higgs CP nature in the tau decay channel at the LHC
Stefan Berge, Werner Bernreuther, Sebastian Kirchner

TL;DR
This paper assesses how precisely the CP nature of the 125 GeV Higgs boson can be measured at the LHC through tau decay channels, combining methods to define a sensitive observable and estimating measurement uncertainties.
Contribution
It introduces a combined observable using rho-decay plane and impact parameter methods to determine the Higgs CP mixing angle at the LHC, with detailed uncertainty estimates.
Findings
The mixing angle can be measured with 15° uncertainty at 150 fb⁻¹.
The mixing angle can be measured with 9° uncertainty at 500 fb⁻¹.
Future measurements could achieve ~4° precision with 3 ab⁻¹.
Abstract
We investigate how precisely the CP nature of the 125 GeV Higgs boson, parametrized by a scalar-pseudoscalar Higgs mixing angle, can be determined in Higgs-to-tau-pair decay with subsequent tau-lepton decays to charged prongs at the Large Hadron Collider (LHC). We combine two methods in order to define an observable which is sensitive to this scalar-pseudoscalar mixing angle: We use the rho-decay plane method for tau-to-rho decays and the impact parameter method for all other major tau decays. For estimating the precision with which the mixing angle can be measured at the LHC (13 TeV) we take into account the background from Drell-Yan production and perform a Monte Carlo simulation of measurement uncertainties on the signal and background distributions. We obtain that the mixing angle can be determined with an uncertainty of 15 degree (9 degree) at the LHC with an integrated luminosity…
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