A Simplified Approach to Determine $α$ and the Penguin Amplitude in $B_{d}\to ππ$

Details A Simplified Approach to Determine $α$ and the Penguin Amplitude in $B_{d}\to ππ$ A Simplified Approach to Determine $α$ and the Penguin Amplitude in $B_{d}\to ππ$

1995-06-10

arxiv.org/abs/hep-ph/9506288v2

Phys.Lett.B360:131-137,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

This work has been accepted for publication in Phys. Lett. B. In the revised version, we add a new section to give a qualitati

Scientific paper

10.1016/0370-2693(95)01112-4

The effect of inelastic final-state interactions (IFSI's) on the determination of the weak phase $\alpha$ from the isospin triangles of $B\rightarrow \pi\pi$ is qualitatively illustrated. Neglecting the electroweak penguins and IFSI's and assuming the dominance of the top-quark loop in strong penguin diagrams, we propose an experimentally accessible way to approximately determine $\alpha$ and the penguin amplitude in $B_{d}\rightarrow \pi\pi$. This approach relies on a simplified isospin consideration and the factorization approximation, and its feasibility is irrelevant to the time-dependent measurements of $B_d\rightarrow \pi\pi$.

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