No-go theorems for R symmetries in four-dimensional GUTs
Abstract
We prove that it is impossible to construct a grand unified model, based on a simple gauge group, in four dimensions that leads to the exact MSSM, nor to a singlet extension, and possesses an unbroken R symmetry. This implies that no MSSM model with either a ZM⩾ 3 R or U(1)R symmetry can be completed by a four-dimensional GUT in the ultraviolet. However, our no-go theorem does not apply to GUT models with extra dimensions. We also show that it is impossible to construct a 4D GUT that leads to the MSSM plus an additional anomaly-free symmetry that forbids the μ term.
- Publication:
-
Physics Letters B
- Pub Date:
- November 2011
- DOI:
- 10.1016/j.physletb.2011.10.063
- arXiv:
- arXiv:1109.4797
- Bibcode:
- 2011PhLB..705..503F
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 11+1 pages