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There are strong similarities between charge-parity (CP) violatingobservables in hadronic $B$ decays (in particular $\Delta A^-_{\rm CP}$ in$B\to K\pi$) and direct CP violation in Kaon decays ($\epsilon^\prime$): Allthese observables are very sensitive to new physics (NP) which is at the sametime CP and isospin violating (i.e. NP with complex couplings which aredifferent for up quarks and down quarks). Intriguingly, both the measurementsof $\epsilon^\prime$ and $\Delta A^-_{\rm CP}$ show deviations from theirStandard Model predictions, calling for a common explanation (the latter isknown as the $B\to K\pi$ puzzle). For addressing this point, we parametrize NPusing a gauge invariant effective field theory approach combined with a global$U(2)^3$ flavor symmetry in the quark sector (also known as less-minimalflavour violation). We first determine the operators which can provide a commonexplanation of $\epsilon^\prime$ and $\Delta A^-_{\rm CP}$ and then perform aglobal fit of their Wilson coefficients to the data from hadronic $B$ decays.Here we also include e.g. the recently measured CP asymmetry in $B_s\to KK$ aswell as the purely isospin violating decay $B_s\to\phi\rho^0$, finding aconsistent NP pattern providing a very good fit to data. Furthermore, we can atthe same time explain $\epsilon^\prime/\epsilon$ for natural values of the freeparameters within our $U(2)^3$ flavour approach, and this symmetry givesinteresting predictions for hadronic decays involving $b\to d$ transitions.

Correlating $\epsilon^\prime/\epsilon$ to hadronic $B$ decays via $U(2)^3$ flavour symmetry