On a CP Anisotropy Measurement in the Dalitz Plot

Abstract

We describe a novel use of the Dalitz plot to probe CP symmetry in three-body modes of $B$ and $D$ mesons. It is based on an observable inspired by astronomers' practice, namely the significance in the difference between corresponding Dalitz plot bins. It provides a model independent mapping of local CP asymmetries. We illustrate the method for probing CP symmetry in the complementary cases of B decays, where sizable or even large effects can be expected, yet have to be differentiated against leading Standard Model contributions, and $D$ decays, where one cannot count on sizable effects, yet has to deal with much less Standard Model background.