articleJournal of High Energy PhysicsApr 1, 2014DIAMOND OA

Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology

RARodrigo AlonsoEJElizabeth JenkinsAVAneesh V. ManoharMTMichael Trott

University of California, San Diego · European Organization for Nuclear Research

Indexed inarxivcrossrefdoaj

Abstract

We calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six 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 one-loop anomalous dimension matrix for the dimension-six operators. There are 1350 CP -even and 1149 CP -odd parameters in the dimension-six Lagrangian for 3 generations, and our results give the entire 2499 × 2499 anomalous dimension matrix. We discuss how the renormalization of the dimension-six operators, and the additional renormalization of the dimension d ≤ 4 terms of the SM Lagrangian due to dimension-six operators, lays the…

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Topics
Keywords
  • Physics
  • Particle physics
  • Electroweak interaction
  • Physics beyond the Standard Model
  • Higgs boson
  • Renormalization group
  • Phenomenology (philosophy)
  • Yukawa potential
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