Abstract
We consider the prospects for measuring distinctive signatures of the CP-violating phases in the minimal supersymmetric extension of the Standard Model (MSSM) in light of the limits on sparticle masses from searches at the LHC. We use the CPsuperH code to evaluate model predictions and scan the parameter space using a geometric approach that maximizes CP-violating observables subject to the current upper limits on electric dipole moments (EDMs). We focus on the possible CP-violating asymmetry A_{mathrm{CP}} in b rightarrow s 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 future measurements of the EDMs of the proton, neutron and electron. We find that the current LHC and EDM limits are consistent with values of A_{mathrm{CP}}, Delta M^{NP}_{B_s} and the proton EDM that are measurable with the Belle-II detector, LHCb and a proposed measurement of the proton EDM using a storage ring, respectively. Measurement of a non-zero proton EDM would constrain A_{mathrm{CP}} significantly, but it and a CP-violating contribution to Delta M^{NP}_{B_s} could still be measurable, along with neutron and electron EDMs. A more accurate measurement of A_{mathrm{CP}} with the current central value would favour stop and chargino masses within reach of future LHC runs as well as a potentially measurable value of Delta M^{NP}_{B_s}.
Highlights
ACP in b → sγ decay and on a possible CP-violating contribution to the Bs − Bs mass difference
We find that the current LHC and electric dipole moments (EDMs) limits are consistent with values of ACP, M
As we discuss in this paper, there is scope for distinctive signatures of the CP-violating phases allowed in the minimal supersymmetric extension of the Standard Model (MSSM), despite the continuing success of the Kobayashi– Maskawa model [1]
Summary
There are six potentially observable CP-violating phases in a phenomenological version of the MSSM with soft supersymmetry-breaking parameters specified at the electroweak scale in which flavour universality is assumed for the supersymmetric partners of the two lighter generations (the pMSSM). The experimental upper limits on electric dipole moments (EDMs) compiled in Table 1 constrain quite severely four combinations of these six pMSSM CP-violating phases. They leave open the possibility that two linearlyindependent orthogonal combinations of these six phases may take values that are O(1), in which case they may have observable consequences in other experiments, such as Bphysics experiments (see below) as well as in the generation of EDM experiments. When exploring these CP-violating opportunities, it is impractical to make an analytical study of the possible phase
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