A note on dimension-5 operators in GUTs and their impact
Abstract
Quantum gravity or string compactification can lead to effective dimension-5 operators in Grand Unified Theories which modify the gauge kinetic terms. We exhaustively discuss the group-theoretic nature of such operators for the popular SU(5), SO(10), and E(6) models. In particular, for SU(5) only a Higgs in the 200 representation can help bring the couplings to unification below the Planck scale and in consistency with proton decay limits while for a supersymmetric version 24, 75, or 200 representations are all acceptable. The results also have a direct application in non-universality of gaugino masses in a class of supersymmetric models where identical group-theoretic features obtain.
Cite
@article{arxiv.0812.2783,
title = {A note on dimension-5 operators in GUTs and their impact},
author = {Joydeep Chakrabortty and Amitava Raychaudhuri},
journal= {arXiv preprint arXiv:0812.2783},
year = {2009}
}
Comments
11 pages, v2: Unification in SUSY SU(5) discussed, Published version