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CP-violating effects in the time-dependent angular distribution of the B^0_s-> J/psi[-> ell^+ ell^-] phi[-> K^+K^-] decay products play a key role for thesearch of new physics. The hadronic Standard-Model uncertainties are related todoubly Cabibbo-suppressed penguin contributions and are usually assumed to benegligibly small. In view of recent results from the Tevatron and the quicklyapproaching start of the data taking at the LHC, we have a critical look at theimpact of these terms, which could be enhanced through long-distance QCDphenomena, and explore the associated uncertainty for the measurement of theCP-violating B^0_s-\bar B^0_s mixing phase. We point out that these effects canactually be controlled by means of an analysis of the time-dependent angulardistribution of the B^0_s -> J/psi[-> ell^+ ell^-] \bar K^{*0}[-> pi^+ K^-]decay products, and illustrate this through numerical studies. Moreover, wediscuss SU(3)-breaking effects, which limit the theoretical accuracy of ourmethod, and suggest internal consistency checks of SU(3).

Precision Physics with B^0_s -> J/psi phi at the LHC: The Quest for New Physics