Abstract
The effective Lagrangian expansion provides a framework to study effects of new physics at the electroweak scale. To make full use of LHC data in constraining higher-dimensional operators we need to include both the Higgs and the electroweak gauge sector in our study. We first present an analysis of the relevant di-boson production LHC results to update constraints on triple gauge boson couplings. Our bounds are several times stronger than those obtained from LEP data. Next, we show how in combination with Higgs measurements the triple gauge vertices lead to a significant improvement in the entire set of operators, including operators describing Higgs couplings.
Highlights
FB/Λ2=25TeV-2 fWWW/Λ2=25TeV-2 Data pTlead(GeV)followed by W +jets and Drell-Yan events
We first present an analysis of the relevant di-boson production LHC results to update constraints on triple gauge boson couplings
We find a global minimum at a Gauss-equivalent χ2 ≈ −2 log L = 48.3 for a total of 65 data points, while χ2 ≈ −2 log L = 49.7 for the Standard Model
Summary
In the linear effective Lagrangian expansion we construct a SU(3)c ⊗ SU(2)L ⊗ U(1)Y symmetric Lagrangian based on the SM field content, including the Higgs-Goldstone doublet φ. Some of the operators in eq (2.2) contribute to the self-interactions of the electroweak gauge bosons They can be linked to specific deviations in the Lorentz structures entering the W W Z and W W γ interactions, usually written as κγ, κZ , g1Z , g1γ, λγ, and λZ [50]. The SU(2)-gauge-invariant formulation in terms of dimension-six operators induces correlations of the formerly multi-dimensional space of modified gauge couplings, λZ = λγ and This defines what is usually referred to as the LEP scenario in the analysis of anomalous TGV interactions. The deviations generated by non-linear operators in the TGVs could be completely decorrelated to the deviations generated in the Higgs interactions As it has been studied in detail in [44, 54], this different pattern of anomalous interactions could be potentially used to test the nature of the Higgs boson
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