$B_s$ Mixing and New Physics in hadronic $b\to s\bar{q}q$ transitions

Abstract

We study the implication of the recent $\Delta m_s$ measurement on $b\to s\bar{q}q$ transitions. We show that it is possible, in the presence of a flavour symmetry, that the phase in $B_s$ mixing may be unobservable even with new CP odd phases in $b\to s$ transitions. These phases may then produce new CP odd effects in certain $b\to s\bar{q}q$ transitions like $B\to K\pi$ but not in others like $B_d\to \varphi K_s$. Working in a two higgs doublet model of new physics we discuss the allowed NP contribution to $B\to K\pi$ and $B_d\to \varphi K_s$ decays with the new $Delta{m}_s$ measurement.

Comments: 19 pages, no figures, references added, text added, accepted for publication