English

Low-Energy Effective Field Theory below the Electroweak Scale: Dimension-8 Operators

High Energy Physics - Phenomenology 2021-12-21 v3

Abstract

We construct a complete basis of dimension-8 operators in the Low-Energy Effective Field Theory below the Electroweak Scale (LEFT). We find there are 35058 dimension-8 operators in the LEFT for two generations of up-type quarks and three generations of down-type quarks, charged leptons, and left-handed neutrinos. The existence of this operator basis is a necessary prerequisite for matching to the Standard Model Effective Field Theory at the dimension-8 level.

Keywords

Cite

@article{arxiv.2012.13291,
  title  = {Low-Energy Effective Field Theory below the Electroweak Scale: Dimension-8 Operators},
  author = {Christopher W. Murphy},
  journal= {arXiv preprint arXiv:2012.13291},
  year   = {2021}
}

Comments

29 pages, 20 tables; v3: minor typos corrected

R2 v1 2026-06-23T21:22:58.193Z