We attempt to explain recent anomalies in semileptonic B decays at LHCb via
a composite Higgs model, in which both the Higgs and an SU(2)L-triplet
leptoquark arise as pseudo-Goldstone bosons of the strong dynamics. Fermion
masses are assumed to be generated via the mechanism of partial compositeness,
which largely determines the leptoquark couplings and implies non-universal
lepton interactions. The latter are needed to accommodate tensions in the b→sμμ dataset and to be consistent with a discrepancy measured at LHCb
in the ratio of B+→K+μ+μ− to B+→K+e+e− branching
ratios. The data imply that the leptoquark should have a mass of around a TeV.
We find that the model is not in conflict with current flavour or direct
production bounds, but we identify a few observables for which the new physics
contributions are close to current limits and where the leptoquark is likely to
show up in future measurements. The leptoquark will be pair-produced at the LHC
and decay predominantly to third-generation quarks and leptons, and LHC13
searches will provide further strong bounds.This work has been partially supported by STFC grant ST/L000385/1 and King's College, Cambridge.This is the final published version. It first appeared at http://dx.doi.org/10.1007/JHEP05(2015)00