Bruhat-Tits group schemes over higher dimensional base-II

We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}.

Our method also gives a new construction of higher BT-group schemes more general than parahoric ones.

The new ingredients are an extension of this http URL's construction in \cite{yu} to higher dimensional bases, Néron-Raynaud dilatations of subgroup schemes on divisors, combined with techniques from \cite{bt2} and the structure theory developed in \cite{bp}.