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Sigma models with negative curvature

Authors: Alonso, Rodrigo; Jenkins, Elizabeth E.; Manohar, Aneesh V.;

Sigma models with negative curvature

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.

Country
United States
Keywords

Nuclear and High Energy Physics, QC1-999, 5106 Nuclear and Plasma Physics (for-2020), Particle and Plasma Physics (for), FOS: Physical sciences, 0201 Astronomical and Space Sciences (for), 51 Physical sciences (for-2020), Atomic, Mathematical Sciences, Particle and Plasma Physics, High Energy Physics - Phenomenology (hep-ph), 4904 Pure Mathematics (for-2020), Unified quantum theories, 0105 Mathematical Physics (for), Nuclear, Mathematical Physics, 5107 Particle and High Energy Physics (for-2020), Physics, 51 Physical Sciences (for-2020), Molecular, Nuclear & Particles Physics (science-metrix), Particle and High Energy Physics, hep-ph, Nuclear and Plasma Physics, Pure Mathematics, Nuclear & Particles Physics, 49 Mathematical sciences (for-2020), High Energy Physics - Phenomenology, Physical Sciences, 0202 Atomic, 4902 Mathematical Physics (for-2020), 49 Mathematical Sciences (for-2020), Astronomical and Space Sciences

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Top 10%
Green
gold