EDMs vs. CPV in B_{s,d} mixing in two Higgs doublet models with MFV

Understand

We analyze the correlations between electric dipole moments (EDMs) of the neutron and heavy atoms and CP violation in B_{s,d} mixing in two Higgs doublet models respecting the Minimal Flavour Violation hypothesis, with flavour-blind CP-violating (CPV) phases.

• In particular, we consider the case of flavour-blind CPV phases from i) the Yukawa interactions and ii) the Higgs potential.
• We show that in both cases the upper bounds on the above EDMs do not forbid sizable non-standard CPV effects in B_s mixing.
• However, if a large CPV phase in B_s mixing will be confirmed, this will imply EDMs very close to their present experimental bounds, within the reach of the next generation of experiments, as well as BR(B_{s,d}-> mu^+ mu^-) typically largely enhanced over its SM expectation.