Effective field theory for weak boson pair production

Author : Celine Degrande

References :

• C. Degrande, N. Greiner, W. Kilian, O. Mattelaer, H. Mebane, T. Stelzer, S. Willenbrock, C. Zhang, ​arXiv:1205.4231 [hep-ph]

Description

This !MadGraph5 model is the implementation of the weak boson effective field theory described in ​arXiv:1205.4231 [hep-ph]. Namely, the model contains all the five dimension-six operators that modify the triple gauge boson vertices. Their coefficients can be set in the param_card.dat. The parameters in the param_card are the full coefficients, i.e. $c_i/\Lambda^{2$ and are in TeV$}-2$. The name are self-explanatory, $c_{WWW}/\Lambda^{2$ is called CWWWL2 and similarly for $c_W$ and $c_B$, the coefficients of the CP violating operators $O_{\tilde{W}WW}$ and $O_{\tilde{W}}$ are CPWWWL2 and CPWL2 respectively. The new interaction has also an order NP (for new physics) which is the power of ($1/\Lambda$) of the amplitude. For example, an amplitude with one vertex for a dimension-six operator is proportional to $1/\Lambda}2$ and has NP=2.

To use the model online,you need to choose "Weak Bosons Effective Field theory (dim 6)" as the model. If you run !MadGraph5 locally (via a shell), the name of the model is EWdim6 (so you need to use the command import model EWdim6)

Operator	Coefficient	param_card name	limit at 68% C.L.(TeV${-2}$)
$\mbox{Tr}[W_{\mu\nu}W{\nu\rho}W_{\rho}{\mu}]$	$c_{WWW}/\Lambda2$	CWWWL2	[-11.9 , -1.94]
$(D_\mu\Phi)\dagger W{\mu\nu}(D_\nu\Phi)$	$c_{W}/\Lambda2$	CWL2	[-8.42 , 1.44]
$(D_\mu\Phi)\dagger B{\mu\nu}(D_\nu\Phi)$	$c_{B}/\Lambda2$	CBL2	[-7.9 , 14.9]
$\mbox{Tr}[\tilde{W}_{\mu\nu}W{\nu\rho}W_{\rho}{\mu}]$	$c_{\tilde{W}WW}/\Lambda2$	CPWWWL2	[x , x]
$(D_\mu\Phi)\dagger \tilde{W}{\mu\nu}(D_\nu\Phi)$	$c_{\tilde{W}}/\Lambda2$	CPWL2	[x , x]