SU(2)×U(1) gauge invariance and the shape of new physics in rare B decays

Abstract

Although direct searches of new-physics at colliders have not been successful yet, different experimental results challenging the Standard Model (SM) have recently appeared in rare B-meson decays. Generally speaking, these anomalies can be produced by new and yet unknown (pseudo)scalar-, (axial)vector- or tensor-like interactions.

Using as a sole hypothesis that there is an energy gap between the typical scale of the SM and the one of the new physics, we showed in our letter that the type of interactions responsible for the anomalies are highly constrained by the symmetries of the SM (see figure).

In particular:

(i) They cannot be tensor-like.

(ii) (Pseudo)Scalar effects must be produced by dynamics at ~>100 TeV using the decay $B_s\to l^+l^-$ alone.

(iii) As a result of (i)-(ii), there can only be an (axial)vector-like contribution responsible for the puzzling lepton-universality violating signal detected by LHCb in $B^+\to K+l^+l^-$.

This, in turn, is consistent with a different anomaly found in the angular analysis of $B\to K^*l^+l^-$. Other symmetry relations connect these anomalies to other high-energy processes and we hope our approach will help to reveal the shape of the new physics to come.

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