SMEFT atlas of F=2 transitions

We present a model-independent anatomy of the F = 2 transitions K-0-K<overbar></mml:mover>0, B-s,B-d-B<overbar></mml:mover>s<mml:mo>,d and D-0-<mml:mover accent="true">D<mml:mo stretchy="true"><overbar></mml:mover>0 in the context of the Standard Model Effective Field Theory (SMEFT). We present two master formulae for the mixing amplitude [M-12](BSM). One in terms of the Wilson coefficients (WCs) of the Low-Energy Effective Theory (LEFT) operators evaluated at the electroweak scale mu (ew) and one in terms of the WCs of the SMEFT operators evaluated at the BSM scale Lambda. The coefficients Paij entering these formulae contain all the information below the scales mu (ew) and Lambda, respectively. Renormalization group effects from the top-quark Yukawa coupling play the most important role. The collection of the individual contributions of the SMEFT operators to [M-12](BSM) can be considered as the SMEFT atlas of F = 2 transitions and constitutes a travel guide to such transitions far beyond the scales explored by the LHC. We emphasize that this atlas depends on whether the down-basis or the up-basis for SMEFT operators is considered. We illustrate this technology with tree-level exchanges of heavy gauge bosons (Z ', G ') and corresponding heavy scalars.