Extracting the CKM phase angle γ(\equiv φ_3) from isospin analysis in B\to K πdecays

Details Extracting the CKM phase angle γ(\equiv φ_3) from isospin analysis in B\to K πdecays Extracting the CKM phase angle γ(\equiv φ_3) from isospin analysis in B\to K πdecays

2007-10-08

arxiv.org/abs/0710.1523v4

Phys.Lett.B670:124-128,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Error analysis has been improved

Scientific paper

10.1016/j.physletb.2008.10.041

We propose a new method to extract the CKM phase angle \gamma (\equiv \phi_3) from the isospin analysis in B \to K \pi decays. Unlike previously proposed methods, we do not employ flavor SU(3) symmetry, so that this method is free from the hadronic uncertainty coming from the SU(3) breaking effect. Neither we adopt any Dalitz-plot analysis, which may involve multiple strong phases and large final state interactions. After including small CP violating terms in B^+ \to K^0 \pi^+ and color-suppressed electroweak penguin contribution in B^0 \to K^+ \pi^-, whose values are estimated from the QCD factorization, we obtain \gamma = ({70}^{+5 +1 +2}_{-14 -1 -3})^\circ \textrm{or} {106^\circ}< \gamma < {180^\circ}. The first error is due to the experimental errors mainly caused by mixing-induced CP asymmetry S_{{K_s} \pi^0}. The second and third errors come from the theoretical uncertainty for two above-mentioned small contributions, respectively. Since we utilize only the isospin relations in B \to K \pi decays, this method will work well, regardless of possible new physics effects unless the isospin relations do not hold.

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