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Measuring gamma with B -> K pi pi and B -> K K Kbar Decays
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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.
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Cited by 2 Pith papers
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Precise measurement of the CKM angle $\gamma$ with a novel approach
A joint fit to LHCb B to D h decays and BESIII quantum-correlated D Dbar data yields gamma = 71.3 plus or minus 5.0 degrees, the most precise measurement to date.
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Measurement of the CKM angle $\gamma$ in $B^{\pm} \rightarrow D(\rightarrow K^{0}_{\rm S} h^{\prime+}h^{\prime-})h^{\pm}$ decays with a novel approach
A novel model-independent approach with per-event phase-space weights on combined BESIII and LHCb data measures the CKM angle γ as (71.3 ± 5.0)° in B± → D(→ K0S h'+h'-) h± decays.
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