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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1002/ardp.18772100404

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1029-8479

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Renormalization group evolution of the Standard Mo

Authors: Rodrigo Alonso Elizabeth E Jenkins Aneesh V Manohar Michael Trott
Publish Date: 2014/04/28
Volume: 2014, Issue: 4, Pages: 159-
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Abstract

We calculate the gauge terms of the oneloop anomalous dimension matrix for the dimensionsix operators of the Standard Model effective field theory SM EFT Combining these results with our previous results for the λ and Yukawa coupling terms completes the calculation of the oneloop anomalous dimension matrix for the dimensionsix operators There are 1350 CP even and 1149 CP odd parameters in the dimensionsix Lagrangian for 3 generations and our results give the entire 2499 × 2499 anomalous dimension matrix We discuss how the renormalization of the dimensionsix operators and the additional renormalization of the dimension d ≤ 4 terms of the SM Lagrangian due to dimensionsix operators lays the groundwork for future precision studies of the SM EFT aimed at constraining the effects of new physics through precision measurements at the electroweak scale As some sample applications we discuss some aspects of the full RGE improved result for essential processes such as gg → h h → γγ and h → Zγ for Higgs couplings to fermions for the precision electroweak parameters S and T and for the operators that modify important processes in precision electroweak phenomenology such as the threebody Higgs boson decay h → Z ℓ + ℓ − and triple gauge boson couplings We discuss how the renormalization group improved results can be used to study the flavor problem in the SM EFT and to test the minimal flavor violation MFV hypothesis We briefly discuss the renormalization effects on the dipole coefficient C eγ which contributes to μ → eγ and to the muon and electron magnetic and electric dipole momentsThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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