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The knowledge of $\tau$ lepton kinematic and kinematic of the $\tau$ pair inthe decay $Z/H \rightarrow \tau\tau$ is essential for various analysis at LHC.However, the reconstruction of the whole kinematic of the $\tau$ decay is achallenging task, since in every $\tau$ decay at least one neutrino is presentin the final state which escapes detection. In this paper a kinematic technique(Global Event Fit) to estimate the momentum escaped with neutrinos and hencethe full momentum of the $\tau$ lepton pair is described. The algorithm isbased on iterative minimization of the likelihood with constrains derived fromall available kinematic information on the decay. The method requires thedirection of at least one $\tau$ lepton to be well defined and therefore themethod can be applied to the decays $Z/H \rightarrow \tau\tau \rightarrow X +a_{1}\nu$ with $a_{1}$ resonance decaying into three charged pions.

Kinematic reconstruction of $Z/H \rightarrow \tau\tau$ decay in proton-proton collisions