Prospect for measuring theCPphase in thehττcoupling at the LHC
Citations Over TimeTop 10% of 2015 papers
Abstract
The search for a new source of $CP$ violation is one of the most important endeavors in particle physics. A particularly interesting way to perform this search is to probe the $CP$ phase in the $h\ensuremath{\tau}\ensuremath{\tau}$ coupling, as the phase is currently completely unconstrained by all existing data. Recently, a novel variable $\mathrm{\ensuremath{\Theta}}$ was proposed for measuring the $CP$ phase in the $h\ensuremath{\tau}\ensuremath{\tau}$ coupling through the ${\ensuremath{\tau}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{0}\ensuremath{\nu}$ decay mode. We examine two crucial questions that the real LHC detectors must face, namely, the issue of neutrino reconstruction and the effects of finite detector resolution. For the former, we find strong evidence that the collinear approximation is the best for the $\mathrm{\ensuremath{\Theta}}$ variable. For the latter, we find that the angular resolution is actually not an issue even though the reconstruction of $\mathrm{\ensuremath{\Theta}}$ requires resolving the highly collimated ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$'s and ${\ensuremath{\pi}}^{0}$'s from the $\ensuremath{\tau}$ decays. Instead, we find that it is the missing transverse energy resolution that significantly limits the LHC reach for measuring the $CP$ phase via $\mathrm{\ensuremath{\Theta}}$. With the current missing energy resolution, we find that with $\ensuremath{\sim}1000\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ the $CP$ phase hypotheses $\mathrm{\ensuremath{\Delta}}={0}^{\ifmmode^\circ\else\textdegree\fi{}}$ (the standard model value) and $\mathrm{\ensuremath{\Delta}}=9{0}^{\ifmmode^\circ\else\textdegree\fi{}}$ can be distinguished, at most, at the 95% confidence level.
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