Abstract
Measuring the CP symmetry in the Higgs sector is one of the key tasks of the LHC and a crucial ingredient for precision studies, for example in the language of effective Lagrangians. We systematically analyze which LHC signatures offer dedicated CP measurements in the Higgs-gauge sector, and discuss the nature of the information they provide. Based on the Fisher information measure, we compare the maximal reach for CP-violating effects in weak boson fusion, associated ZH production, and Higgs decays into four leptons. We find a subtle balance between more theory-independent approaches and more powerful analysis channels, indicating that rigorous evidence for CP violation in the Higgs-gauge sector will likely require a multi-step process.
Highlights
Based on the Fisher information measure, we compare the maximal reach for CP-violating effects in weak boson fusion, associated ZH production, and Higgs decays into four leptons
Since the experimental observation of the Higgs boson at the Large Hadron Collider (LHC) [1,2], detailed studies of its properties have become one of the most important laboratories to search for physics beyond the Standard Model
Deviations from the Standard Model expectations induced by heavy new particles can be described by a continuous and highdimensional parameter space of Wilson coefficients in the Lagrangian of an effective field theory (EFT) [3,4,5,6]
Summary
Since the experimental observation of the Higgs boson at the Large Hadron Collider (LHC) [1,2], detailed studies of its properties have become one of the most important laboratories to search for physics beyond the Standard Model. In the Standard Model, after the CKM rotations which diagonalize the fermion masses, the Higgs boson has C and P preserving interactions at tree level Any deviation from this prediction would be a striking manifestation of physics beyond the Standard Model, and it is experimentally exigent to determine whether there are new sources of CP violation in the Higgs sector. It allows us to define and to compute the best possible outcome of any multivariate black-box analysis [28,32] as well as the expected outcome based on a more limited set of kinematic observables In this way, we determine which Higgs production and decay processes are bestsuited to test its CP properties, and identify which kinematic variables carry the relevant information.
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