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Attempts to incorporate in a coherent picture the B-decay anomalies presumably observed in b > c and b > s semi-leptonic transitions have to face the absence of signals in other related experiments, both at low and at high energies. I will describe one such attempt based on the Pati-Salam SU(4) group, that unifies colour and the B-L charge, in the context of a new strongly interacting sector, equally responsible for producing a pseudo-Goldstone Higgs boson. I will focus on the constraints arising when electroweak precision measurements and direct searches at the LHC are taken into account, trying to correlate theses two aspects in order to identify the directions that are still unexplored and study new collider signatures at the LHC.