A theoretical case for negative mass-square for sub-eV particles
arXiv:hep-ph/0305158 · doi:10.1142/S0218271803004328
Abstract
Electroweak gauge bosons have masses of the order of 10^2 GeV, while masses of additional bosons involved in gravito-electroweak unification are expected to be still higher. These are at least eleven orders of magnitude higher than sub-eV range indications for neutrino masses. Under these circumstances we suspect that the sub-eV particles are created in a spacetime where gravitational effects of massive gauge bosons may become important. The question that we thus ask is: What is the spacetime group around a gravito-electroweak vertex? Modeling it as de-Sitter we find that sub-eV particles may carry a negative mass square of the order of - (3/8 π^3) (M_unif./M_Planck)^4 M_Planck^2. Neutrino oscillation data then hints at 30-75 TeV scale for M_unif., where M_unif. characterizes gravito-electroweak unification scale.
v3: Entirely re-written. An error (not a typo) corrected. Int. J. Mod. Phys. D (in press) v1: This essay received an "honorable mention" in the 2003 Essay Competition of the Gravity Research Foundation
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