The production of heavy industry commodities is responsible for 1/3 of annual global GHG emissions. The Paris Agreement goals of +1.5-2°C require global emissions reach net-zero and possibly negative somewhere between 2060 and 2080. Given the normal timetable for retirement or retrofit of industrial facilities (>=20 years) all new equipment must be net-zero or negative carbon by the early 2040s. In this article we demonstrate to policymakers and modellers that industrial decarbonization is technically possible and how it might be achieved. First, we synthesize sectoral lab-bench and near-commercial technology options for reducing emissions to net-zero within 1-2 investment cycles, pathways more or less appropriate given regional resources (i.e. access to biomass, renewable electricity, or geological storage of CO 2) and political circumstances. Second, we synthesize policy options, focussing on those that encourage a managed transition from today's industry to net-zero emissions with a minimum of stranded assets, unemployment and social trauma.