Causalityviolating Higgs singlets at the LHC
Abstract
We construct a simple class of compactified fivedimensional metrics which admits closed timelike curves (CTCs), and derive the resulting CTCs as analytic solutions to the geodesic equations of motion. The associated Einstein tensor satisfies all the null, weak, strong and dominant energy conditions. In particular, no negativeenergy “tachyonic” matter is required. In extradimensional models where gauge charges are bound to our brane, it is the KaluzaKlein modes of gauge singlets that may travel through the CTCs. From our brane point of view, many of these KaluzaKlein modes would appear to travel backward in time. We give a simple model in which timetraveling Higgs singlets can be produced by the LHC, either from decay of the Standard Model Higgs or through mixing with the Standard Model Higgs. The signature of these timetraveling singlets is a secondary decay vertex preappearing before the primary vertex which produced them. The two vertices are correlated by momentum conservation. We demonstrate that preappearing vertices in the Higgs singletdoublet mixing model may well be observable at the LHC.
 Publication:

Physical Review D
 Pub Date:
 February 2013
 DOI:
 10.1103/PhysRevD.87.045004
 arXiv:
 arXiv:1103.1373
 Bibcode:
 2013PhRvD..87d5004H
 Keywords:

 14.80.Bn;
 04.50.h;
 04.20.Gz;
 12.60.Fr;
 Standardmodel Higgs bosons;
 Higherdimensional gravity and other theories of gravity;
 Spacetime topology causal structure spinor structure;
 Extensions of electroweak Higgs sector;
 High Energy Physics  Phenomenology;
 General Relativity and Quantum Cosmology
 EPrint:
 55 pages, 5 figures, v4: Version updated to include in single manuscript the contents of Erratum [Phys. Rev. D 88, 069901(E) (2013)], Reply [Phys. Rev. D 88, 068702 (2013)], Comment [Phys. Rev. D 88, 068701 (2013), arXiv:1302.1711], and original published article [Phys. Rev. D 87, 045004 (2013), arXiv:1103.1373]. Positive conclusions remain unchanged