Rigorous Limits on the Interaction Strength in Quantum Field Theory
High Energy Physics - Theory
2010-05-27 v1 High Energy Physics - Phenomenology
Abstract
We derive model-independent, universal upper bounds on the Operator Product Expansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories. The method uses the conformal block decomposition and the crossing symmetry constraint of the 4-point function. In particular, the OPE coefficient of three identical dimension scalar primaries is found to be bounded by ~ 10(d-1) for 1<d<1.7. This puts strong limits on unparticle self-interaction cross sections at the LHC.
Cite
@article{arxiv.0912.2726,
title = {Rigorous Limits on the Interaction Strength in Quantum Field Theory},
author = {Francesco Caracciolo and Slava Rychkov},
journal= {arXiv preprint arXiv:0912.2726},
year = {2010}
}
Comments
11 pp, 3 figs + data file attached