# SMEFT D6 ComparisonΒΆ

The Recola2 model file including the dimension-six operators in the Warsaw basis has been cross-checked against the SMEFTsim_A_U35_MwScheme_UFO_v2_1 UFO model file for the subset of operators that only involve gauge bosons and/or scalars. The numerical results corresponding to the former model have been obtained with the Recola2 matrix-element provider, while Madgraph5_aMC@NLO was used for the latter model. Below a sample output in the LHE format

```
<weight id='mod1-cG-sq'>
<weight_generator>MadGraph5_aMC@NLO_v2.6.3.2</weight_generator>
<weight_model_version>SMEFTsim_A_U35_MwScheme_UFO_v2_1</weight_model_version>
<weight_card>
change model SMEFTsim_A_U35_MwScheme_UFO_v2_1-mod1-cG-sq
change process g g > g g NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @1
change process h h > h h NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @2
change process g g > h h NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @3
change process a z > w+ w- NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @4
change process g g > g g g NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @5
change process u d~ > e+ ve a NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @6
change process u u~ > e+ e- H NP<=1 QED<=99 QCD<=99 SMHLOOP==0 NP^2==2 @7
</weight_card>
<weight_slha>
Block frblock
18 1.000000e+03 # LambdaSMEFT
19 1.000000e+03 # cG
</weight_slha>
</weight>
```

```
<weight id='mod2-cG-sq'>
<weight_generator>Recola2 </weight_generator>
<weight_model_version> eftdim6 </weight_model_version>
<weight_card>
change model eftdim6-mod2-cG-sq
change process g g -> g g LAM=1 LAM^2=2 @1
change process H H -> H H LAM=1 LAM^2=2 @2
change process g g -> H H LAM=1 LAM^2=2 @3
change process A Z -> W+ W- LAM=1 LAM^2=2 @4
change process g g -> g g g LAM=1 LAM^2=2 @5
change process u d~ -> e+ nu_e A LAM=1 LAM^2=2 @6
change process u u~ -> e+ e- H LAM=1 LAM^2=2 @7
</weight_card>
<weight_slha>
Block EFTblock
1 1.000000e+03 # CGx
16 1.000000e-06 # LAM
</weight_slha>
</weight>
```

```
<event>
4 1 -1.00000E+00 9.11876E+01 1.00000E+00 1.18400E-01
21 -1 0 0 0 0 0.000000000E+00 0.000000000E+00 5.000000000E+02 5.000000000E+02 0.000000000E+00 0.00000E+00 9.000E+00
21 -1 0 0 0 0 0.000000000E+00 0.000000000E+00 -5.000000000E+02 5.000000000E+02 0.000000000E+00 0.00000E+00 9.000E+00
21 1 1 2 0 0 1.109242844E+02 4.448307895E+02 -1.995529299E+02 5.000000000E+02 9.725607898E-06 0.00000E+00 9.000E+00
21 1 1 2 0 0 -1.109242844E+02 -4.448307895E+02 1.995529299E+02 5.000000000E+02 1.009274029E-05 0.00000E+00 9.000E+00
<rwgt>
<wgt id='mod1-sm-sq'> 0.555539813E+02 </wgt>
<wgt id='mod1-cG-sq'> 0.951865237E+08 </wgt>
<wgt id='mod2-sm-sq'> 0.555539813E+02 </wgt>
<wgt id='mod2-cG-sq'> 0.951865237E+08 </wgt>
</rwgt>
</event>
```

The full LHE file can be found `here`

.
As can be seen from the LHE file, the only differences between the predictions
of the two models are some interference matrix-elements that however correspond to
numerical zeros.
This comparison as performed in [M+19].

References

- M+19
Fabio Maltoni and others. Proposal for the validation of Monte Carlo implementations of the standard model effective field theory. 6 2019. arXiv:1906.12310.