On aCPanisotropy 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 two complementary cases of B and D decays: in the former sizable or even large effects can be expected, yet have to be differentiated against leading Standard Model contributions, while in the latter one cannot count on sizable effects, yet has to deal with much less Standard Model background.

CP violation in multibody B decays from QCD factorization

“…This is because A CP in eq. (4.3) is only generated by a vector-scalar interference, which always comes with a cos θ π term, and hence the CP asymmetry always switches sign when comparing cos θ > 0 and cos θ < 0 (see also [35][36][37] for an elaborate discussion on these issues). However, if the CP asymmetry were dominated by two S or S-D wave interferences, the CP asymmetry would not switch sign, which could be an explanation for the behaviour in this region.…”

“Could charm (& τ) transitions be the ‘poor princess’ providing a deeper understanding of fundamental dynamics ?” or: “Finding novel forces”

“…There are several roads towards obtaining the necessary information and some examples can be seen in Refs. [76][77][78][79]. Comparing the results of these studies reveals both their strong and weak points.…”

“…Instead, they must be described in a more subtle manner, i.e., in relation to fractional asymmetries, significance, etc. [76][77][78][79]. Again, this depends on the situation.…”

Mixing and CP-violation studies in charm decays at LHCb

“…The statistical technique used to test for consistency between the D + and D − Dalitz plots, and to localize the asymmetry if one is found, is based on the Miranda approach (see Ref. [7] and also Ref. [8] Control modes are analysed to validate the method.…”