Diagnostic for new physics in $B \to πK$ decays

Details Diagnostic for new physics in $B \to πK$ decays Diagnostic for new physics in $B \to πK$ decays

2009-05-10

arxiv.org/abs/0905.1495v2

Phys.Lett.B678:97-100,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figures. Submitted to Physics Letters B. Slight clarification added

Scientific paper

10.1016/j.physletb.2009.06.018

A recent analysis of $B \to \pi K$ decays concludes that present data do not clearly indicate whether (i) the standard model (or $\Delta I=0$ new physics) is sufficient, or (ii) $\Delta I=1$ new physics is needed. We show that these two possibilities can be distinguished by whether a sum rule relating the CP asymmetries of the four $B \to \pi K$ decays is valid. If case (i) is favored, the sum rule holds, and one predicts $A_{CP}(\pi^0 K^0) = -0.15$, while in case (ii) fits to new physics involving large values of a color-suppressed tree amplitude entail $A_{CP}(\pi^0 K^0) = -0.03$. The current experimental average $A_{CP}(\pi^0 K^0) = -0.01 \pm 0.10$ must be measured a factor of at least three times more precisely in order to distinguish between the two cases.

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