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We present a model based on $S_1$ scalar leptoquarks to solve the tensionobserved in the recently proposed non-leptonic optimized observables $L_{K^{*}\bar{K}^{*}}$ and $L_{K \bar{K}}$. These observables are constructed as ratiosof U-spin related decays based on $B_{d,s}^0\rightarrow {K^{(*)0}\barK^{(*)0}}$. The model gives a one-loop contribution to the Wilson coefficientof the chromomagnetic dipole operator needed to explain the tension in bothnon-leptonic observables, while naturally avoiding large contributions to thecorresponding electromagnetic dipoles. The necessary chiral enhancement comesfrom an $O(1)$ Yukawa coupling with a TeV-scale right-handed neutrino runningin the loop. We endow the model with a $U(2)$ flavor symmetry, necessary toprotect light-family flavor observables that otherwise would be in tension.Furthermore, we show that the same $S_1$ scalar leptoquark is capable ofsimultaneously explaining the hints of lepton flavor universality violationobserved in charged-current $B$-decays. The model therefore provides apotential link between two puzzles in $B$-physics and TeV-scale neutrino massgeneration. Finally, the combined explanation of the $B$-physics puzzlesunavoidably results in an enhancement of $\mathcal{B}(B\rightarrow K \nu \bar\nu)$, yielding a value close to present bounds.

Explaining the $B_{d,s}\rightarrow {K^{(*)}\bar K^{(*)}}$ non-leptonic puzzle and charged-current $B$-anomalies via scalar leptoquarks

Explaining the $B_{d,s}\rightarrow {K^{()}\bar K^{()}}$ non-leptonic puzzle and charged-current $B$-anomalies via scalar leptoquarks