Phenomenology of the Higgs Effective Lagrangian via FeynRules

Alloul, Adam; Sanz, Verónica; Fuks, Benjamin

doi:10.1007/JHEP04(2014)110

Article
Report number	arXiv:1310.5150 ; CERN-PH-TH-2013-248 ; CERN-PH-TH-2013-248
Title	Phenomenology of the Higgs Effective Lagrangian via FeynRules
Author(s)	Alloul, Adam (Haute Alsace U., GRPHE ; Haute Alsace U., IUT Colmar) ; Fuks, Benjamin (Strasbourg, IPHC ; Strasbourg, IReS ; CERN) ; Sanz, Verónica (Sussex U.)
Publication	2014
Imprint	18 Oct 2013
Number of pages	35
Note	Comments: 36 pages, 6 figures, 6 tables; version accepted by JHEP 36 pages, 6 figures, 6 tables; version accepted by JHEP
In:	JHEP 04 (2014) 110
DOI	10.1007/JHEP04(2014)110
Subject category	Particle Physics - Phenomenology
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.
Copyright/License	publication: © 2014-2024 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³ preprint: © 2013-2024 CERN (License: CC-BY-3.0)

$Coupling strengths of the interactions of a Higgs boson with a vector boson pair. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:massbasis} (first column), where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis (third column). The Standard Model contributions to the Higgs boson to two photons (gluons) vertex $a_{\sss H}$ ($g_{\sss H}$) have been explicitly indicated. We relate these parameters to those employed in the Lagrangian description of Ref.~\cite{Artoisenet:2013puc} in the second column of the table.Multiple Higgs interactions. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:massbasis} and Eq.~\eqref{eq:massbasis4}, where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis.Coupling strengths of the interactions of one or several Higgs boson(s) with a fermion pair and possibly an additional gauge boson. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:massbasis} (first column), where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis (third column). In our notations, $V^{\sss \rm CKM}$ denotes the CKM mixing matrix. Concerning the three-point interactions, we relate our parameters to those of the Lagrangian description of Ref.~\cite{Artoisenet:2013puc} in the second column of the table.Quartic interactions of one or several Higgs field with gauge bosons. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:massbasis4}, where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis.Trilinear gauge interactions. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:l3v}, where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis.Quartic gauge interactions. We present the relations between the Lagrangian parameters introduced in Eq.~\eqref{eq:l4v}, where the Lagrangian is expressed in the mass basis, and those associated with the operators of Section~\ref{sec:HELgauge} expressed in the gauge basis.$ $\it Distribution of the angular separation of the decay planes associated with each of the (possibly virtual) $Z$-bosons resulting from the decay of a Higgs boson produced in the gluon fusion mode. We show the Standard model distribution (green-solid histogram) to which we superimpose predictions associated with a non-zero $\bar{c}_{\sss W}$= 0.3 (black-dotted line) and -1.5 (blue-solid line) Wilson coefficient.$ $\it Distribution of the angular distance $\Delta R(\ell_1,\ell_2)$ between the two charged leptons originating from a pair of $W$-bosons issued from the decay of a Higgs boson produced via gluon fusion. The left panel of the figure illustrates that for $\bar{c}_W = 0.05$ (red-dashed line) and $\bar{c}_{HW} = 0.05$ (blue-solid line), no sizable effect beyond the SM predictions (green-solid histogram) can be expected. In contrast, the right panel of the figure shows that for larger values of the Wilson coefficients set to $-1$, sensitive effects can be observed.$ Show more plots

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