The low energy effective theory and nucleon stability
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
We show that the Standard Model Lagrangian, including small neutrino masses, has an anomaly-free discrete Z_6 symmetry. Anomaly cancellation requires the number of family to be 3 mod 6. This symmetry can ensure the stability of the nucleon even when the threshold of new physics \Lambda is low as 10^2 GeV. All \Delta B=1 and \Delta B=2 (B is the baryon number) effective operators are forbidden by the Z_6 symmetry. \Delta B=3 operators are allowed, but they arise only at dimension 15. We suggest a simple mechanism for realizing reasonable neutrino masses and mixings even with such a low scale for \Lambda.
Cite
@article{arxiv.hep-ph/0402087,
title = {The low energy effective theory and nucleon stability},
author = {Ilia Gogoladze},
journal= {arXiv preprint arXiv:hep-ph/0402087},
year = {2007}
}
Comments
To appear in the Proceedings of SUSY 2003, held at the University of Arizona, Tucson, AZ, 5-10 June 2003