Explaining \(b\rightarrow s\ell \ell \) Anomalies and \(B\rightarrow \pi K\) Puzzle Within SMEFT
摘要
In this paper, we discuss a simultaneous explanation of semileptonic \(b\rightarrow s\ell \ell \) anomalies and hadronic \(B\rightarrow \pi K\) puzzle in standard model effective field theory (SMEFT) approach. We consider two categories of four-fermion SMEFT operators: (a) two quarks and two leptons ( \(2q2\ell \) ) and (b) four quarks (2q2q). We find that the former can not provide a combined solution to these two kinds of puzzles whereas the later can. This is possible due to renormalization group running and operator mixing. We identify the allowed SMEFT four-quark solutions which explain these two kinds of anomalies along with all the relevant low energy constraints.