We discuss the anatomy of the LV V observable designed as a ratio of the longitudinal components of Bs → V V versus Bd → V V decays. We focus on the particular case of Bd,s → K^∗0K̄^∗0 where we find for the SM prediction L_K∗K̄∗ = 19.5₋⁺⁹₆³₈ implying a 2.6σ tension with respect to data. The interpretation of this tension in a model independent way identifies two Wilson coefficients C4 and C8g as possible sources. The example of one simplified model including a Kaluza-Klein (KK) gluon is discussed. This KK gluon embedded inside a composite/extra dimensional model combined with a Zℓ can explain also the b → sℓℓ anomalies albeit with a significant amount of fine-tuning.