We examine various scenarios in which the Standard Model is extended by a light leptoquark state to explain one or both B-physics anomalies. Combining low-energy constraints and direct searches at the LHC, we confirm that the only single leptoquark model that can explain both anomalies at the same time is a vector leptoquark, known as U1. Focusing on U1, we highlight the complementarity between LHC and low-energy constraints, and argue that improving the experimental bound on B(B → Kµτ ) by two orders of magnitude could compromise its viability as a solution to the B-physics anomalies.

We show that a model with a scalar leptoquark of hypercharge Y = 1/6 which includes the light right-handed neutrinos, can successfully describe both of the B-physics anomalies, R expWe discuss the corresponding low energy effective theory and, after using the known experimental data as constraints, we show that the model is viable and that it offers several predictions which can be tested experimentally.