We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the vev expansion
relevant for studies of electroweak precision and Higgs data, as reported in
https://arxiv.org/pdf/2001.01453.pdf. Then using this formalism we report the first exact formalism to sub-leading order in the vev expansion as applied to Higgs data as reported in https://arxiv.org/abs/2007.00565.