Search for the Lepton Flavor Violating decays $ B^0_{(s)} \to \tau^\pm \mu^\mp$ at LHCb

Lepton Flavor Violating (LFV) $B$ decays, such as $B^{0}_{(s)}\rightarrow\tau^{+}\mu^{-}$, are forbidden in the Standard Model (SM) in the absence of non-zero neutrino masses, but can occur via one-loop diagrams if neutrino oscillations are included. This implies that the rate of these kind of processes is very suppressed, beyond the current and future experimental sensitivities. However, a wide variety of New Physics scenarios predict dramatically higher rates for these processes. The poster presents the search for the LFV decays $B^{0}_{(s)}\rightarrow\tau^{+}\mu^{-}$ using 2011 and 2012 data of the LHCb experiment. The studied $\tau$ decay mode is $\tau\rightarrow\pi^{+}\pi^{-}\pi^{+}\nu_{\tau}$. The analysis is currently blinded and in review.