Correlating tauonic B decays with the neutron electric dipole moment via a scalar leptoquark

In this article we investigate the correlations between tauonic B meson decays (e.g., B -> tau nu, B -> D-(*())tau nu, B ->pi tau nu) and electric dipole moments (EDMs), in particular the one of the neutron, in the context of the S 1 scalar leptoquark. We perform the matching of this model on the effective field theory taking into account the leading renormalization group effect for the relevant observables. We find that one can explain the hints for new physics in b -> c tau nu transitions without violating bounds from other observables. Even more interesting, it can also give sizable effects in B ->tau nu, to be tested at BELLE II, which are con elated to (chromo)electric dipole operators receiving m(tau)/m(u). enhanced contributions. Therefore, given a deviation from the Standard Model (SM) expectations in B -> tau nu, this model predicts a sizable neutron EDM. In fact, even if new physics has CP conserving real couplings, the Cabibbo-Kobayashi-Maskawa matrix induces a complex phase and already a 10% change of the B -> tau nu branching ratio (with respect to the SM) will lead to an effect observable with the n2EDM experiment at Paul Scherrer Institut.