PENGUIN CORRECTIONS AND STRONG PHASES IN A TIME-DEPENDENT ANALYSIS OF $\overline{B^0}(B^0)r\to \pi^+\pi^-$

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Abstract
From a time-dependent analysis of the decay and using a model-dependent AP/AT ratio of the penguin-to-tree amplitudes contributing to the decay, both the weak phase α and the strong phase shift difference δ can be extracted from the data. The value of the weak phase β expected to be measured from the decay , is used to parametrize the value of AP/AT and the corresponding penguin correction to the observed asymmetry in .