Higgs and Flavour: BSM Overview

We discuss scenarios for BSM physics near the TeV, motivated by the hierarchy problem and the flavour puzzle, and review their experimental tests at present and future colliders. Strong LHC constraints on couplings to light quarks motivate $U(2)$-like flavour symmetries as a means of lowering the new physics scale: this is demonstrated by general SMEFT analyses, and is also seen in composite Higgs solutions to the hierarchy problem. We discuss flavour non-universal gauge interactions as a possible origin for $U(2)$-like flavour symmetries which, in addition to allowing new physics to be lighter, opens up a simultaneous low-scale solution to the flavour puzzle. We focus on `flavour deconstructed' gauge interactions close to the TeV, and show how this non-universal gauge structure can be combined with Higgs compositeness in a way that better accommodates the requisite tuning in the Higgs mass.