Sigma Models with Negative Curvature

Rodrigo Alonso; Elizabeth E. Jenkins; Aneesh V. Manohar

doi:10.1016/j.physletb.2016.03.032

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arXiv · 1602.00706

Sigma Models with Negative Curvature

Rodrigo Alonso·Elizabeth E. Jenkins·Aneesh V. Manohar

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Abstract

We construct Higgs Effective Field Theory (HEFT) based on the scalar manifold H^n, 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.

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Rodrigo Alonso, Elizabeth E. Jenkins, Aneesh V. Manohar. 2016-02-01. Sigma Models with Negative Curvature. https://doi.org/10.1016/j.physletb.2016.03.032

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