Measuring the weak phase in the decay $B_s^0\rightarrow \phi\phi$ at the LHCb experiment

The vector-vector penguin decay $B_s^0\rightarrow \phi\phi$ provides a potential probe into new CP-violating physics beyond the standard model. Studies using the full angular decay information are presented to determine the sensitivity to the CP-violating phase $\Phi$ and the linear polarisation fractions. This work uses DC06 Monte Carlo data. A sensitivity of $\sigma$ ($\Phi$) = 0.08 rad is expected with 10 fb$^{-1}$ of LHCb data. However, recent CDF measurements suggest a branching ratio of (2.4$\pm$0.8) x 10$^{-1}$, and based on this central value, the sensitivity is expected to improve to $\sigma(\Phi)$ = 0.06 rad with 10 fb$^{-1}$. This sensitivity assumes an estimated yield of 4.6k signal events in 2 fb$^{-1}$, a B/S ratio of < 2.4 (at a 95% confidence level), and a tagging power of 6.8%.