DATA: 09-07-2019

We formulate a generalization of Higgs effective field theory (HEFT) including arbitrary number of┬ extra neutral and charged Higgs bosons (generalized HEFT, GHEFT) to describe non-minimal electroweak┬ symmetry breaking models. Using the geometrical form of the GHEFT Lagrangian, which can be regarded┬ as a nonlinear sigma model on a scalar manifold, it is shown that the scalar boson scattering amplitudes are┬ described in terms of the Riemann curvature tensor (geometry) of the scalar manifold and the covariant┬ derivatives of the potential. The one-loop divergences in the oblique correction parameters S and U can┬ also be written in terms of the Killing vectors (symmetry) and the Riemann curvature tensor (geometry).┬ It is found that perturbative unitarity of the scattering amplitudes involving the Higgs bosons and the longitudinal┬ gauge bosons demands the flatness of the scalar manifold. The relationship between the finiteness of the┬ electroweak oblique corrections and perturbative unitarity of the scattering amplitudes is also clarified in┬ this language: we verify that once the tree-level unitarity is ensured, then the one-loop finiteness of the oblique┬ correction parameters S and U is automatically guaranteed. ┬ This talk is based on arXiv:1904.07618. (Ryo Nagai - ICRR, U. of Tokyo)


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