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We propose to utilize the transverse mass variable $M_{T2}$ and it'sdescendant $M_{2Cons}$ for constraining the CP admixture of the tau leptonYukawa coupling at the LHC. We have considered the tau lepton pair producedfrom the Higgs boson with each tau decays to a charged pion and a neutrino,$\tau^{\pm} \rightarrow \pi^{\pm} \nu_{\tau}$. Recently, for this channel, theLHC has employed the impact parameter method to measure the CP mixing angle oftau lepton Yukawa coupling with large uncertainty. The observables we proposehere can be measured in the lab frame without the impact parameter measurementand in turn, give a complementary probe of the CP admixture of tau leptonYukawa. The CP mixing angle, with our method, can be constrained up to17$^{\circ}$ (7$^{\circ}$) with 300 (3000) $fb^{-1}$ of integrated luminosityat the 14 LHC.

$M_{T2}$ as a probe of CP phase in $h \rightarrow \tau \tau$ at the LHC