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

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

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We calculate the complete order y2 and y4 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, λ2 and λy2 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a4ee9ac4d958e8868e1feff10b0cf161407e2b67

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In Nuclear and High Energy Physics

1. David M. Straub
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Citations in the corpus

• Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology (2013, background): “[10, 12] and appendix C should convince the reader that”
• 2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT (2015, methodology): “Our investigations are motivated by the difficulties in determining the operator content of the SM EFT, as well as interesting features so far uncovered in the well developed literature [3–7, 10, 12–36].”
• 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].”
• B-physics anomalies: a guide to combined explanations (2017, background): “J H E P 1 1 ( 2 0 1 7 ) 0 4 4 • Tree-level contributions to ZbLbL, ZτLτL, Zντντ , and WτLντ couplings from the effective operators build out of Higgs and fermion currents, as well as from the RG evolution of the semi-leptonic, four-quark, and four-lepton operators [77].”
• Global approach to top-quark flavor-changing interactions (2014, background): “[79–82].”
• Low-energy effective field theory below the electroweak scale: operators and matching (2017, background): “[3, 18, 19], where p, r, s, t are weak-eigenstate indices,1 and powers of 1/Λ are included in the coefficients C.”
• A Monte Carlo global analysis of the Standard Model Effective Field Theory: the top quark sector (2019, methodology): “This dependence can be evaluated using renormalisation group (RG) equations [53, 79, 80], but here since we focus on processes with a similar energy scale, E ' mt, we will not include these operator running effects.”
• 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.”
• B-decay anomalies in a composite leptoquark model (2016, background): “The particular operators are Q (1) `q and Q (3) `q ; see [49, 50] for notation and the explicit form of the RGE.”
• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators (2014, background): “A series of papers calculated the full 59 × 59 anomalous dimension matrix for the operators that preserve baryon number [15–21], and the anomalous dimension matrix for the baryon-number violating operators followed soon after [22].”
• Renormalisation-group improved analysis of μ → e processes in a systematic effective-field-theory approach (2017, methodology): “If the BSM scale is higher than the EWSB scale, our theory will have to be matched to the SMEFT and, in a second step, the RGE within the SMEFT [25, 26] will have to be carried out from mW to the scale, where the BSM theory is to be matched to the SMEFT.”
• Probing top quark neutral couplings in the Standard Model Effective Field Theory at NLO in QCD (2016, background): “The anomalous dimensions for these three operators are [14, 40–42]”
• The SMEFTsim package, theory and tools (2017, background): “[10, 35]), and the scales of the experimental constraints are separated from the scales used to probe these interactions at the LHC.”