H Effective Theory And The Geometry Of Scalar Field Space

The geometry of scalar field space is studied for Higgs Effective Field Theory. Physical observ-ables depend on the curvature of the scalar field manifold, which is invariant under scalar field redefinitions. In the Standard Model, the scalar manifold is flat, whereas in Higgs Effective Field Theory, it is curved with the curvature set by the scale Λ of the effective field theory. Calculations using a covariant formalism appropriate for curved spaces provides a number of insights into the structure of the theory. Two concrete examples of Higgs Effective Field Theory are presented which exhibit positive and negative curvature.