Sigma models with negative curvature
Here, 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 noncompact 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 Sparameter, and the cross sections for longitudinal gauge boson and Higgs boson scattering, since the curvature (including its sign) determines deviations from Standard Model values.
 Authors:

^{[1]}
;
^{[2]};
^{[2]}
 Univ. of California at San Diego, La Jolla, CA (United States)
 Univ. of California at San Diego, La Jolla, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Publication Date:
 Grant/Contract Number:
 SC0009919
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 756; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 Univ. of California, San Diego, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1242323
 Alternate Identifier(s):
 OSTI ID: 1256872
Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V.. Sigma models with negative curvature. United States: N. p.,
Web. doi:10.1016/j.physletb.2016.03.032.
Alonso, Rodrigo, Jenkins, Elizabeth E., & Manohar, Aneesh V.. Sigma models with negative curvature. United States. doi:10.1016/j.physletb.2016.03.032.
Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V.. 2016.
"Sigma models with negative curvature". United States.
doi:10.1016/j.physletb.2016.03.032.
@article{osti_1242323,
title = {Sigma models with negative curvature},
author = {Alonso, Rodrigo and Jenkins, Elizabeth E. and Manohar, Aneesh V.},
abstractNote = {Here, 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 noncompact 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 Sparameter, and the cross sections for longitudinal gauge boson and Higgs boson scattering, since the curvature (including its sign) determines deviations from Standard Model values.},
doi = {10.1016/j.physletb.2016.03.032},
journal = {Physics Letters. Section B},
number = C,
volume = 756,
place = {United States},
year = {2016},
month = {3}
}