Scale of Quantum Gravity

Details Scale of Quantum Gravity Scale of Quantum Gravity

2004-04-21

arxiv.org/abs/hep-ph/0404182v2

Phys.Lett. B616 (2005) 215-220

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages. Accepted for publication in PLB

Scientific paper

10.1016/j.physletb.2005.04.040

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.

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