Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence

2013/10/31 by Elizabeth Jenkins, Elizabeth E. Jenkins, Aneesh V. Manohar +1 · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Dimension (graph theory) #Gauge (firearms) #Higgs boson #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Renormalization group #Standard Model (mathematical formulation) #Yukawa potential #hep-ph

paper · pdf · doi:10.1007/jhep01(2014)035

published as JHEP 01 (2014) 035 · 23 pp, 1 figure, v3: minor corrections. The complete SMEFT RGE will be maintained at http://einstein.ucsd.edu/smeft/

openalex publication_date 2014/01/01 · arxiv created 2020/07/15 · arxiv updated 2020/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We calculate the complete order y 2 and y 4 terms of the 59 × 59 one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory, where y is a generic Yukawa coupling. These terms, together with the terms of order λ, λ 2 and λy 2 depending on the Standard Model Higgs self-coupling λ which were calculated in a previous work, yield the complete one-loop anomalous dimension matrix in the limit of vanishing gauge couplings. The Yukawa contributions result in non-trivial flavor mixing in the various operator sectors of the Standard Model effective theory.

Citations

• An exactly solvable model for dimension-six Higgs operators and h→γγ
• Renormalization group evolution of dimension-six baryon number violating operators
• Dimension-Six Terms in the Standard Model Lagrangian
• Minimal flavour violation: an effective field theory approach
• Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence

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