A small cosmological constant from the modified BransDicke theory  an interplay between different energy scales
Abstract
In this paper we discuss a model in which the energy density, corresponding to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry breaking appears to be of the desired order of $10^{48}÷10^{47} GeV^{4}$. The model contain two different energy scales, one of which is associated with the Higgs's vacuum expectation value. Another scale is of the order of $10^{21}GeV$ and defines the vacuum expectation value of the BransDicke scalar field, nonminimally coupled to gravity, and sets the value of the Planck mass. Other (dimensionless) parameters are assumed not to contain hierarchical differences. The model is devoid of any finetuning and gives a small value of the effective cosmological constant even if the real "bare" cosmological constant is quite large.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.3811
 Bibcode:
 2007arXiv0711.3811S
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 10 pages, LaTeX, references added