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Sigma models with negative curvature

By Rodrigo Alonso, Elizabeth E. Jenkins and Aneesh V. Manohar


We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold Hn, which is a hyperbolic space of constant negative curvature. The Lagrangian has a non-compact O(n,1) global symmetry group, but it gives a unitary theory as long as only a compact subgroup of the global symmetry is gauged. Whether the HEFT manifold has positive or negative curvature can be tested by measuring the S-parameter, and the cross sections for longitudinal gauge boson and Higgs boson scattering, since the curvature (including its sign) determines deviations from Standard Model values

Topics: Physics, QC1-999
Publisher: Elsevier
Year: 2016
DOI identifier: 10.1016/j.physletb.2016.03.032
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