Scale of Quantum Gravity
High Energy Physics - Phenomenology
2010-04-05 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
In the effective field theory of quantum gravitation coupled to N_s scalars, N_f fermions, and N_V vectors, tree unitarity is violated at an energy squared of E_{CM}^2 = 20(G_N N)^{-1}, where N = {2/3}N_s + N_f + 4N_V and G_N is Newton's constant. This is related to radiative corrections proportional to G_N N E^2 (where E is the typical energy), due to loops of such particles. New physics must enter before E_{CM}=5.6 x 10^{18} GeV in the standard model, and 4.6 x 10^{18} GeV in the minimal supersymmetric standard model.
Cite
@article{arxiv.hep-ph/0404182,
title = {Scale of Quantum Gravity},
author = {Tao Han and Scott Willenbrock},
journal= {arXiv preprint arXiv:hep-ph/0404182},
year = {2010}
}
Comments
6 pages. Accepted for publication in PLB