English

Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators

High Energy Physics - Phenomenology 2014-12-30 v2

Abstract

We present a complete list of the independent dimension-7 operators that are constructed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators; far fewer than the 63 operators available at dimension 6. All of these dimension-7 operators contain fermions and violate lepton number, and 7 of the 20 violate baryon number as well. This result extends the Standard Model Effective Field Theory (SMEFT) and allows a more detailed exploration of the structure and properties of possible deformations from the Standard Model Lagrangian.

Keywords

Cite

@article{arxiv.1410.4193,
  title  = {Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators},
  author = {Landon Lehman},
  journal= {arXiv preprint arXiv:1410.4193},
  year   = {2014}
}

Comments

18 pages, version published in PRD. References added