Measuring gamma with B -> K pi pi and B -> K K Kbar Decays

Abstract

We present a method for cleanly extracting the CP phase gamma from the Dalitz plots of B+ -> K+ pi+ pi-, Bd -> K+ pi0 pi-, Bd -> K0 pi+ pi-, Bd -> K+ K0 K-, and Bd -> K0 K0 Kbar0. The B -> K pi pi and B -> K K Kbar decays are related by flavor SU(3) symmetry, but SU(3) breaking is taken into account. Most of the experimental measurements have already been made -- what remains is a Dalitz-plot analysis of Bd -> K0 K0 Kbar0 (or Bd -> KS KS KS). We (very) roughly estimate the error on gamma to be ~25%. This is somewhat larger than the error in two-body decays, but it would be the first clean measurement of gamma in three-body decays. Furthermore, at the super-B factory, it is possible that gamma could be measured more precisely in three-body decays than in two-body decays.

10 pages, no figures. Presentation considerably modified -- added detailed discussion of how the fit is done, and provided guesstimate of the error on the extracted value of gamma. Conclusions unchanged. Added comparison of error on gamma with two- and three-body decay methods. References added

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• Measuring gamma in B -> K pi pi Decays
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