A Determination of the CKM-angle $α$ using Mixing-induced CP Violation in the Decays $B_d\toπ^+π^-$ and $B_d\to K^0 \bar K^0$

Details A Determination of the CKM-angle $α$ using Mixing-induced CP Violation in the Decays $B_d\toπ^+π^-$ and $B_d\to K^0 \bar K^0$ A Determination of the CKM-angle $α$ using Mixing-induced CP Violation in the Decays $B_d\toπ^+π^-$ and $B_d\to K^0 \bar K^0$

1995-07-31

arxiv.org/abs/hep-ph/9507460v1

Phys.Lett.B360:138-142,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX, Figure not included

Scientific paper

10.1016/0370-2693(95)01121-6

We present a method of determining the CKM-angle $\alpha$ by performing simultaneous measurements of the mixing-induced CP asymmetries of the decays $B_d\to\pi^+\pi^-$ and $B_d\to K^0\bar K^0$. The accuracy of our approach is limited by $SU(3)$-breaking effects originating from $\bar b\to \bar ds\bar s$ QCD-penguin diagrams. Using plausible power-counting arguments we show that these uncertainties are expected to be of the same order as those arising through electroweak penguins in the standard Gronau-London-method in which $\alpha$ is extracted by means of isospin relations among $B\to\pi\pi$ decay amplitudes. Therefore our approach, which does not involve the experimentally difficult mode $B_d\to\pi^0\pi^0$ and is essentially unaffected by electroweak penguins, may be an interesting alternative to determine $\alpha$.

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