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Sigma Models with Negative Curvature
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Sigma Models with Negative Curvature
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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.
Forward citations
Cited by 2 Pith papers
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Supersymmetric geometry in non-supersymmetric effective field theory
Authors construct supersymmetric embeddings for non-SUSY gauge theory operators up to dimension six and use vector bundles to reveal an underlying complex geometry that organizes operators under field redefinitions ac...
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The Spurion Massive EFT (SMEFT)
SMEFT contact terms are decomposed into spurion structures whose coefficients come from higher-order Higgs singlet combinations, with W/Z masses, mixing, and fermion couplings fully saturated by dimension-eight operators.
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