1 | | === To be filled |
| 1 | |
| 2 | == Standard Model Effective Theory at Next-to-Leading-Order in QCD == |
| 3 | |
| 4 | ''Céline Degrande, Gauthier Durieux, Fabio Maltoni, Ken Mimasu, Eleni Vryonidou & Cen Zhang'' |
| 5 | |
| 6 | A complete implementation of the SMEFT compatible with NLO QCD predictions. |
| 7 | |
| 8 | The implementation is based on the Warsaw basis of operators and includes all degrees of freedom consistent with the following symmetry assumptions: |
| 9 | * CP-conservation. |
| 10 | * U(2),,Q,, x U(2),,u,, x U(3),,d,, x U(3),,L,, x U(3),,e,, flavor symmetry. |
| 11 | The CKM matrix is approximated as a unit matrix. The flavor symmetry imposes that only the top quark is massive. The model therefore implements the 5-flavor scheme for PDFs. |
| 12 | The bosonic operators are implemented as in the Warsaw basis employing the M,,Z,,, M,,W,,, G,,F,, scheme of Electroweak input parameters. |
| 13 | |
| 14 | The Standard Model input parameters that need to be specified are: |
| 15 | |
| 16 | M,,Z,,, M,,W,,, G,,F,,, M,,H,,, M,,t,,, α,,S,,(M,,Z,,) |
| 17 | |
| 18 | The fermionic degrees of freedom (2 & 4 fermion operators) are defined according to the common standards and prescriptions established by the LHC TOP WG for the EFT interpretation of top-quark measurements at the LHC (see the [https://feynrules.irmp.ucl.ac.be/wiki/dim6top dim6top page] for more information). This model has been validated at LO with the dim6top implementation. |
| 19 | |
| 20 | A new coupling order, {{{NP}}}, is added to the model for the SMEFT interactions. |
| 21 | |
| 22 | === Usage notes === |
| 23 | The {{{NLO}}} restriction card should be used when importing the model for NLO QCD generation: |
| 24 | {{{ |
| 25 | > import model SMEFTatNLO_U2_2_U3_3_cG_4F_LO_UFO-NLO |
| 26 | }}} |
| 27 | This invokes a restricted set of operators for which the required counterterms are implemented. |
| 28 | |
| 29 | We recommend specifying the full {{{QCD}}}, {{{QED}}} and {{{NP}}} orders for process generation. |
| 30 | |
| 31 | For example: |
| 32 | |
| 33 | {{{ |
| 34 | > generate p p > t t~ QCD=2 QED=0 NP=2 [QCD] |
| 35 | }}} |
| 36 | Generated the NLO QCD top pair production process including the QCD-induced SM and the SMEFT contributions. |
| 37 | === Model Files === |
| 38 | * [https://feynrules.irmp.ucl.ac.be/wiki/dud SMEFTatNLO_U2_2_U3_3_cG_4F_LO_UFO.tgz] : archive of UFO model - 4 fermion and c,,G,, operators at LO, U(2)^2^ x U(3)^3^ flavor symmetry |
| 39 | === Version updates === |
| 40 | * 2018/20/12 - v.0.1: First version upload, 4F and c,,G,, operators at LO pending validation; a few minor convention tweaks required to match dim6top exactly. {{{decays.py}}} missing. |