Abstract

The Higgs discovery and the lack of any other hint for new physics favor a description of non-standard Higgs physics in terms of an effective field theory. We present an implementation of a general Higgs effective Lagrangian containing operators up to dimension six in the framework of FeynRules and provide details on the translation between the mass and interaction bases, in particular for three- and four-point interaction vertices involving Higgs and gauge bosons. We illustrate the strengths of this implementation by using the UFO interface of FeynRules capable to generate model files that can be understood by the MadGraph 5 event generator and that have the specificity to contain all interaction vertices, without any restriction on the number of external legs or on the complexity of the Lorentz structures. We then investigate several new physics effects in total rates and differential distributions for different Higgs production modes, including gluon fusion, associated production with a gauge boson and di-Higgs production. We finally study contact interactions of gauge and Higgs bosons to fermions.

Highlights

  • Detector [82] which could find a possible explanation from gauge-mediated supersymmetrybreaking models [83]

  • We illustrate the strengths of this implementation by using the Universal FeynRules Output (UFO) interface of FeynRules capable to generate model files that can be understood by the MadGraph 5 event generator and that have the specificity to contain all interaction vertices, without any restriction on the number of external legs or on the complexity of the Lorentz structures

  • It is necessary to rely on sophisticated tools that cover the implementation of the Higgs effective operators in Monte Carlo simulation programs, the latter further leading to a possible recasting of the experimental analyses and a subsequent comparison of the theoretical predictions, in the framework of an effective field theory for Higgs physics, with experimental data

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Summary

The most general effective Higgs Lagrangian in the gauge eigenbasis

The Standard Model of particle physics is a quantum field theory which describes the elementary particles and their interactions based on the SU(3)c × SU(2)L × U(1)Y gauge symmetry. 22 independent baryon and lepton number conserving four-fermion operators are allowed by gauge invariance Since they have no effects on Higgs physics, at least at the leading order and in the context of the LHC phenomenology, we omit them from the present manuscript, as already above-mentioned. Care must be taken with the choice of the Monte Carlo generator to employ for this purpose, as most of them have strong requirements on the allowed Lorentz structures for the vertices.1 To avoid such limitations and be capable of probing any of the 39 considered operators, we make use, for the few examples of section 4, of the MadGraph 5 program [129] linked to the UFO [134] version of the model presented above Care must be taken with the choice of the Monte Carlo generator to employ for this purpose, as most of them have strong requirements on the allowed Lorentz structures for the vertices. To avoid such limitations and be capable of probing any of the 39 considered operators, we make use, for the few examples of section 4, of the MadGraph 5 program [129] linked to the UFO [134] version of the model presented above

The most general effective Higgs Lagrangian in the mass eigenbasis
Section 2.1
Experimental constraints on dimension-six effective operators
Phenomenological examples
Probing the custodial symmetry
Correlations of new physics effects in the Higgs boson partial widths
Higgs boson production in association with a vector boson
Di-Higgs production in vector boson fusion
Conclusions
Full Text
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