Higgs windows to new physics through d = 6 operators: constraints and one-loop anomalous dimensions

By J. Elias-Miró, J. Espinosa, E. Massó, A. Pomarol. 2013

241 citations recorded by the source corpus.

A bstractThe leading contributions from heavy new physics to Higgs processes can be captured in a model-independent way by dimension-six operators in an effective Lagrangian approach. We present a complete analysis of how these contributions affect Higgs couplings. Under certain well-motivated assumptions, we find that 8 CP-even plus 3 CP-odd Wilson coefficients parametrize the main impact in Higgs physics, as all other coefficients are constrained by non-Higgs SM measurements. We calculate the most relevant anomalous dimensions for these Wilson coefficients, which describe operator mixing from the heavy scale down to the electroweak scale. This allows us to find the leading-log corrections to the predictions for the Higgs couplings in specific models, such as the MSSM or composite Higgs, which we find to be significant in certain cases.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a7ca9eb9f3b8d7db4c7b7aa6d0de3a01d2220c7f

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In Nuclear and High Energy Physics

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Citations in the corpus

• 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].”
• Low-energy effective field theory below the electroweak scale: operators and matching (2017, unknown): “[20, 21].”
• Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence (2013, methodology): “ensions that occupy seven pages of the appendix. Some aspects of operator mixing of dimension-six operators due to Yukawa couplings has been previously calculated in Refs. [6–11]. In particular, Ref. [11] recently studied operator mixing from a different viewpoint, and calculated, for a single flavor,”
• Effective description of general extensions of the Standard Model: the complete tree-level dictionary (2017, methodology): “4 This allows the direct use of our results together with the anomalous dimensions computed in [28, 30–32] (see also [33, 34]) to have a proper leading order calculation with possible large logarithms resummed.”
• Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology (2013, methodology): “[20] does not define such a mapping to allow us to compare our results to the terms reported, see the next section for more discussion on this point.”
• 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].”