Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
High Energy Physics - Phenomenology
2020-07-16 v4
Abstract
We calculate the order \lambda, \lambda^2 and \lambda y^2 terms of the 59 x 59 one-loop anomalous dimension matrix of dimension-six operators, where \lambda and y are the Standard Model Higgs self-coupling and a generic Yukawa coupling, respectively. The dimension-six operators modify the running of the Standard Model parameters themselves, and we compute the complete one-loop result for this. We discuss how there is mixing between operators for which no direct one-particle-irreducible diagram exists, due to operator replacements by the equations of motion.
Keywords
Cite
@article{arxiv.1308.2627,
title = {Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence},
author = {Elizabeth E. Jenkins and Aneesh V. Manohar and Michael Trott},
journal= {arXiv preprint arXiv:1308.2627},
year = {2020}
}
Comments
19 pages, 4 fig, v4: minor corrections, the complete SMEFT RGE will be maintained at http://einstein.ucsd.edu/smeft/