Remarks on the $A_{SL}^s$ and $\Delta {\Gamma }_s$ Studies at the Tevatron and Beyond

Abstract

We give an assessment of the three approaches, undertaken by the D$\varnothing$ experiment, to probe CP violation in $B_s$ mixing without measurement of $B_s$-${\bar{B}}_s$ oscillations or tagging: dimuon charge asymmetry $A_{SL}$, untagged single muon charge asymmetry $A_{SL}^s$, and lifetime difference in untagged $B_s\to J/\psi \varphi$ decay. The latter two approaches provide an alternative avenue, if not crosscheck, to the usual mixing-decay interference study in modes such as $B_s\to J/\psi \varphi$. Prospects at the Tevatron, LHC and (Super) B factories are discussed.

Comments: Latex 4 pages, no figures. Minor modifications in Title and text, references and Note added