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We consider the prospects for measuring distinctive signatures of theCP-violating phases in the minimal supersymmetric extension of the StandardModel (MSSM) in light of the limits on sparticle masses from searches at theLHC. We use the CPsuperH code to evaluate model predictions and scan theparameter space using a geometric approach that maximizes CP-violatingobservables subject to the current upper limits on electric dipole moments(EDMs). We focus on the possible CP-violating asymmetry $A_{\rm CP}$ in $b \tos \gamma$ decay and on a possible CP-violating contribution to the $B_s -\overline{B}_s$ mass difference $\Delta M^{NP}_{B_s}$, as well as futuremeasurements of the EDMs of the proton, neutron and electron. We find that thecurrent LHC and EDM limits are consistent with values of $A_{\rm CP}$, $\DeltaM^{NP}_{B_s}$ and the proton EDM that are measurable with the Belle-IIdetector, LHCb and a proposed measurement of the proton EDM using a storagering, respectively. Measurement of a non-zero proton EDM would constrain$A_{\rm CP}$ significantly, but it and a CP-violating contribution to $\DeltaM^{NP}_{B_s}$ could still be measurable, along with neutron and electron EDMs.A more accurate measurement of $A_{\rm CP}$ with the current central valuewould favour stop and chargino masses within reach of future LHC runs as wellas a potentially measurable value of $\Delta M^{NP}_{B_s}$.

Exploring Supersymmetric CP Violation after LHC Run 2 with Electric Dipole Moments and B Observables