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

By R. Alonso, E. Jenkins, A. Manohar, Michael Trott. Journal of High Energy Physics, 2013

782 citations recorded by the source corpus.

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 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 three-body 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 Ceγ which contributes to μ → eγ and to the muon and electron magnetic and electric dipole moments.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7448b8a189b608e32e590c767ff3be97eb92a91d

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Citations in the corpus

Global approach to top-quark flavor-changing interactions (2014, background): “[79–82].”
Higgs Physics at the HL-LHC and HE-LHC (2019, background): “(170) except O3W affect Higgs measurements at leading order, and O3W contributes to Higgs processes at next-to-leading order [754, 756, 757, 758, 759].”
Lepton universality violation with lepton flavor conservation in B-meson decays (2015, background): “6) from the high scale to the electro-weak vev (the full anomalous dimension matrix is given in [64–67]), and then down to the B-meson scale [52–55].”
The SMEFTsim package, theory and tools (2017, methodology): “Even before this precise counting of parameters was determined [10], the understanding that the number of parameters was large led to pessimism that a general EFT approach could be pursued with collider data.”
Operator bases, S-matrices, and their partition functions (2017, background): “4A generic EFT Lagrangian is a truncated expansion L = L(0) +L(1) + · · ·+L(n) with L(0) the leading order term, L(k) suppressed by 1 Λk , and terms suppressed by more than 1 Λn dropped.”
Renormalization-group evolution of new physics contributions to (semi)leptonic meson decays (2017, result): “[36] neglecting terms suppressed by Yukawa couplings.”
Combined SMEFT interpretation of Higgs, diboson, and top quark data from the LHC (2021, background): “The number of independent dimension-six operators can be unfeasibly large, if all three generations of the SM fermions are taken into account: there are 2499 in total [38], with 572 four-fermion operators that are in principle relevant for topquark physics [39].”
Electroweak radiative corrections for collider physics (2019, neutral): “[128, 129], but translated to our conventions.”
Feynman rules for the Standard Model Effective Field Theory in Rξ-gauges (2017, background): “[21], but we include them here for completeness and consistency.”
On the importance of electroweak corrections for B anomalies (2017, methodology): “The anomalous dimension of these operators are known to one-loop accuracy [52, 53] and we can solve the related RGEs in a leading logarithmic approximation.”