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Difference: ConstraintCos2b (r4 vs. r3)

Constraint from $\cos 2\beta$
There are two ways to access the value of $\cos 2\beta$ , which allows one to remove the ambiguity in between $\beta$ and $\pi-\beta$ that comes from the measurement of $\sin 2\beta$ :
From the time dependent analysis of the decay $B \rightarrow J/\psi K^{*0}$ it is possible to extract the values of both $\sin 2\beta$ and $\cos 2\beta$ using the angular analysis of the Vector-Vector final state.
Using the same Dalitz approach of the DK measurement of $\gamma$ , it is possible to measure $\beta$ from $B^0 \rightarrow D^0 \pi^0$ decays (up to a $\beta \rightarrow \beta+\pi$ ambiguity) from the interference of the and $\bar{B}^0$ decay amplitudes, as suggested in hep-ph/0503174.
The experimental values we use are summarized in the Table of Inputs. The representation of this constraint in the $(\bar{\rho},~\bar{\eta})$ plane is given below.
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