CP asymmetries in three-body B+- decays to charged pions and kaons (1306.2625v4)

Published 11 Jun 2013 in hep-ph and hep-ex

Abstract: CP asymmetries have been measured recently by the LHCb collaboration in three-body $B^+$ decays to final states involving charged pions and kaons. Large asymmetries with opposite signs at a level of about 60% have been observed in $B^\pm\to \pi^\pm({\rm or} K^{\pm)\pi^{+\pi^-$}} and $B^\pm \to \pi^\pm K^{+K^-$} for restricted regions in the Dalitz plots involving $\pi^{+\pi^-$} and $K^{+K^-$} with low invariant mass. U-spin is shown to predict corresponding $\Delta S=0$ and $\Delta S=1$ asymmetries with opposite signs and inversely proportional to their branching ratios, in analogy with a successful relation predicted thirteen years ago between asymmetries in $B_s\to K^{-\pi^+$} and $B⁰ \to K⁺ \pi^-$. We compare these predictions with the measured integrated asymmetries. Effects of specific resonant or non-resonant partial waves on enhanced asymmetries for low-pair-mass regions of the Dalitz plot are studied in $B^\pm \to \pi^\pm \pi^{+\pi^-$.} The closure of low-mass $\pi^{+\pi^-$} and $K^{+K^-$} channels involving only $\pi\pi \leftrightarrow K\bar K$ rescattering may explain by CPT approximately equal magnitudes and opposite signs measured in $B^\pm\to \pi^{\pm\pi^{+\pi^-$}} and $B^\pm \to \pi^\pm K^{+K^-$.}