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. $c_i/\Lambda2$ and are in TeV$-2$. The name are self-explanatory, $c_{WWW}/\Lambda2$ 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 $1/\Lambda2$ 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 | [-185.3 , -82.4] |
| $(D_\mu\Phi)\dagger \tilde{W}{\mu\nu}(D_\nu\Phi)$ | $c_{\tilde{W}}/\Lambda2$ | CPWL2 | [-39.3 , -4.9] |
The limits have been obtained by inverting the values of the anomalous couplings from the PDG 2012.
