Large Penguin effects in the CP Asymmetry of B0d ->pi+pi-

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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(14 pages, PHYZZX, 1 figure, available upon request), SLAC-PUB-5911

Scientific paper

10.1016/0370-2693(93)90765-A

Penguin effects in the CP asymmetries of $B^0_d\rightarrow \pi^+\pi^-$ , $\bd\rightarrow\rho^{\pm}\pi^{\mp}$ and $\bd\rightarrow a^{\pm}_1 \pi^{\mp}$ are studied as function of the CKM unitarity triangle $\alpha$. Despite a fairly small penguin amplitude, it leads to quite sizable uncertainties in the determination of $\sin(2\alpha)$ from all but very large asymmetries. This effect is maximal for vanishing final state interaction phases, for which it can cause, for instance, an asymmetry of 40\%\ if $\alpha=\pi/2$.

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