Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence

2013/08/31 by Elizabeth Jenkins, Elizabeth E. Jenkins, Aneesh V. Manohar +1 · 13 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dimension (graph theory) #Formalism (music) #Higgs boson #Lambda #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Yukawa potential #hep-ph

paper · pdf · doi:10.1007/jhep10(2013)087

published as JHEP 1310 (2013) 087 · 19 pages, 4 fig, v4: minor corrections, the complete SMEFT RGE will be maintained at http://einstein.ucsd.edu/smeft/

openalex publication_date 2013/10/01 · openalex created_date 2017/04/07 · arxiv created 2020/07/15 · arxiv updated 2020/07/16 · openalex updated_date 2026/08/05

Abstract

A bstract We calculate the order λ, λ 2 and λ y 2 terms of the 59 × 59 one-loop anomalous dimension matrix of dimension-six operators, where λ 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.

Citations

• An exactly solvable model for dimension-six Higgs operators and h→γγ
• Effective beta-functions for effective field theory
• Dimension-Six Terms in the Standard Model Lagrangian

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