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

TL;DR

This paper analyzes how dimension-six operators from heavy new physics influence Higgs couplings, providing a comprehensive framework with one-loop anomalous dimensions to connect high-scale theories to low-energy Higgs phenomenology.

Contribution

It identifies key Wilson coefficients affecting Higgs physics and calculates their anomalous dimensions, enabling leading-log predictions in specific models like MSSM and composite Higgs.

Findings

Eight CP-even and three CP-odd Wilson coefficients dominate Higgs effects.

Operator mixing and anomalous dimensions significantly impact Higgs coupling predictions.

Leading-log corrections are substantial in certain new physics scenarios.

Abstract

The 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.