"SPECIAL PARTICLE PHYSICS SEMINAR: CP Violation in B and Bs decay to K pi and SU(3) Symmetry"

The LHCb collaboration has recently measured the first direct CP violation in $B^0_s$ decays with a rate asymmetry $A_{CP}(B^0_s\to K^- \pi^+)$ given by $0.27 \pm 0.04(stat)\pm 0.01(syst)$. At the same time they also made the most precise measurement for $A_{CP}(B^0 \to K^+ \pi^-) = -0.080\pm 0.007(stat)\pm 0.003(syst)$. 

 

These data confirm the predicted relation, $A_{CP}(B^0 \to K^+ \pi^- )/A_{CP}(B^0_s \to K^- \pi^+) = -  Br(B^0_s\to K^- \pi^+)\tau_{B^0}/Br(B^0 \to K^+ \pi^-)\tau_{B^0_s}$, in the standard model with $SU(3)$ flavor symmetry. We discuss possible modifications due to $SU(3)$ breaking effects to this relation.

 

There are several other similar relations in B decays. Using current available data we study  whether relevant relations hold in $B^0$ and $B^0_s$ to $PP$ and $PV$ decays. Here $P$ and $V$ indicate pesudoscalar and vector mesons in the flavor octet representations.