Revisiting the connection of baryon number, lepton number, and operator dimension
High Energy Physics - Phenomenology
2025-08-08 v2
Abstract
The effects of heavy new particles beyond the Standard Model can be conveniently captured through higher-dimensional effective operators. As noted long ago by Weinberg, the amount of baryon and lepton number an operator can carry is intricately connected to its mass dimension. We derive an improved inequality for this connection and compare it to explicit operator constructions up to mass dimension 25. For the effective field theory of Standard Model plus right-handed neutrinos, our relationship is even an equality up to high mass dimension.
Keywords
Cite
@article{arxiv.2505.06172,
title = {Revisiting the connection of baryon number, lepton number, and operator dimension},
author = {Julian Heeck and Diana Sokhashvili},
journal= {arXiv preprint arXiv:2505.06172},
year = {2025}
}
Comments
4 pages; to appear in PLB