The SMEFTsim package is designed to enable automated calculations in the Standard Model Effective Field Theory. It contains a set of models written in the FeynRules language for Mathematica and pre-exported to the UFO format for usage within Monte Carlo event generators.

Further information and links to the documentation can be found at https://SMEFTsim.github.io

This web site is built with Jekyll and hosted on Github pages. You can check out its source at https://github.com/SMEFTsim/SMEFTsim.github.io

This repository hosts SMEFTsim v3.0 and higher.

Every release is tagged with a version number, that is stored in the SMEFTsim_main.fr file in the FeynRules source and in the version.info file in each UFO directory.

A copy of the latest version is stored in the FeynRules database at http://feynrules.irmp.ucl.ac.be/wiki/SMEFT. v2.1 can also be downloaded from there. Older versions are available upon request.

A detailed list of changes made in v3.0 is provided in the associated scientific publication. The main updates are:

• two new flavor assumptions have been added, called top and topU3l. They follow the recommendations in CERN-LPCC-2018-01 for the study of top quark processes.
• a new feature has been implemented, that allows the inclusion of linearized SMEFT corrections in the propagators of the W,Z,h bosons and of the top quark.
• the description of the SM Higgs-gluon vertices in the heavy-top EFT has been substantially improved with a full matching up to d=7.
• the parameterization of Wilson coefficients has been moved from Abs/Ph to Re/Im.
• all interaction vertices are included in the UFO models.
• more interaction orders have been added to the UFO models, in order to provide more control on each class of EFT contributions.

SMEFTsim contains 10 models that differ in flavor assumptions and choice of the input parameters for the electroweak sector.

5 flavor options are available:

• general: general version with free indices
• U35: version with a U(3)^5 symmetry imposed, truncated at the leading spurion insertion of the Yukawa couplings.
• MFV: linear Minimal Flavor Violation version, truncated at subleading spurion insertions of the Yukawas and neglecting non-SM CP violation.
• top: version for top quark physics, with a U(2)^3 symmetry in the quark sector and a U(1)^3 in the lepton sector.
• topU3l: version for top quark physics, with a U(2)^3 symmetry in the quark sector and a U(3)^2 in the lepton sector.

2 choices for EW inputs are available:

• alphaScheme: {alpha_em, m_Z, G_F}
• MwScheme: {m_W, m_Z, G_F}

It is recommended to download the latest tagged version.

SMEFTsim does not require any installation per se. The source files can be loaded in Mathematica, directly after importing the FeynRules package. The flavor and inputs choice needs to be specified beforehand, eg.

Flavor = U35;
Scheme = MwScheme;
LoadModel["SMEFTsim_main.fr"]

Two Mathematica notebooks are provided in the Mathematica_notebooks folder: SMEFTsim_usage_examples.nb contains a number of examples to use SMEFTsim with FeynRules, in order to extract Feynman rules or generic analytic SMEFT results in unitary gauge. The notebook SMEFTsim_SMHloop_FRs.nb contains a pre-exported list of Feynman rules for the loop-generated SM Higgs couplings. It is recommended not to open this notebook, but to evaluate it as shown in SMEFTsim_usage_examples.nb.

The UFO files can be imported in Monte Carlo event generators. They have been optimized for MadGraph5_aMC@NLO, where they can be loaded as usual with

import model SMEFTsim_U35_MwScheme_UFO

or with a restriction, such as

import model SMEFTsim_U35_MwScheme_UFO-massless

Two restriction files are provided for each UFO:

• restrict_massless.dat: sets to zero the masses and Yukawa couplings of all the fermions except the bottom and top quark, and removes CKM mixing. The real parts of all Wilson coefficients (except the FCNC ones, when present) are set to random values. After a process generation, all these parameters can be re-set to zero with the associated card called param_card_massless.dat.

• restrict_SMlimit_massless.dat: same as restrict_massless.dat, but leaving all Wilson coefficients to 0. This card is meant to be modified by the user, in order to switch on only specific Wilson coefficients of his/her choice.

All the UFO models in SMEFTsim have been validated according to the recommendations in CERN-LPCC-2019-02.

The input cards used and the PDF files produced as output are available at https://github.com/SMEFTsim/UFO-validation.

For questions, bug reports and feature requests, please submit a Github issue, or send an email to [email protected].

If you use SMEFTsim in a scientific publication please cite

• I. Brivio, Y. Jiang, M. Trott, The SMEFTsim package, theory and tools. JHEP 12 (2017) 070, arXiv: 1709.06492. [Inspire]

• I. Brivio, SMEFTsim 3.0 -- a practical guide. arXiv: 2012.11343. [Inspire]

SMEFTsim is released under the MIT License.