EFTs and bases

New EFTs and bases can be defined by placing the definition files into the public repository (http://github.com/wcxf/wcxf-bases). This page lists the currently defined EFTs and bases. For each basis, a PDF file listing all the operators is linked.

EFT SMEFT

Standard Model Effective Field Theory with linearly realized electroweak symmetry breaking.

Basis Warsaw

Basis suggested by Grzadkowski, Iskrzyński, Misiak, and Rosiek (arXiv:1008.4884v3). At variance with their definition, the Wilson coefficients are defined to be dimensionful, such that $\mathcal L=\sum _i C_i O_i$. The set of redundant operators coincides with the choice of DSixTools (arXiv:1704.04504). The weak basis for the fermion fields is chosen such that the running dimension-6 mass matrices of charged leptons and down-type quarks are diagonal at the scale where the coefficient values are specified, while up-type quark singlet field is rotated to diagonalise the running dimension-6 up-type quark mass matrix “from the right”.

List of operators (PDF)

Basis Warsaw up

Variant of the Warsaw basis where the up-type quark mass matrix (rather than the down-type quark) is diagonal.

List of operators (PDF)

Basis Warsaw mass

Variant of the Warsaw basis where all fermion fields are rotated such as to make their mass matrices diagonal. This rotation breaks $SU(2)_L$ invariance and is ambiguous for some operators. We adhere to the choice of arXiv:1704.03888 by Dedes, Materkowska, Paraskevas, Rosiek, and Suxho, which coincides with the “tilded” basis in arXiv:1512.02830 by Aebischer, Crivellin, Fael, and Greub.

List of operators (PDF)

EFT WET

Weak effective theory below the electroweak scale with five dynamical quark flavours.

Basis JMS

Basis suggested by Jenkins, Manohar, and Stoffer (arXiv:1709.04486). Currently only includes baryon and lepton number conserving operators. Neutrinos are in the flavour basis.

List of operators (PDF)

Basis Bern

Basis suggested by Aebischer, Fael, Grueb, and Virto (arXiv:1704.06639). Neutrinos are in the flavor basis.

List of operators (PDF)

Basis flavio

Basis used by the flavio package. Neutrinos are in the flavour basis.

List of operators (PDF)

Basis formflavor

Basis used by the FormFlavor package

List of operators (PDF)

Basis FlavorKit

Basis used by the FlavorKit and SPheno packages

List of operators (PDF)

Basis EOS

Basis used by the EOS package

List of operators (PDF)

EFT WET-2

Weak effective theory with dynamical up and down quark and electron, valid below the stange quark mass scale.

Basis JMS

Variant of the basis suggested by Jenkins, Manohar, and Stoffer (arXiv:1709.04486) with only two dynamical quark flavors.

List of operators (PDF)

EFT WET-3

Weak effective theory with three dynamical quark flavours and two charged lepton flavours valid between the strange and charm quark mass scales.

Basis flavio

List of operators (PDF)

Basis Bern

List of operators (PDF)

Basis JMS

Variant of the basis suggested by Jenkins, Manohar, and Stoffer (arXiv:1709.04486) with only three dynamical quark flavors.

List of operators (PDF)

EFT WET-4

Weak effective theory with four dynamical quark flavours valid between the charm and bottom quark mass scales.

Basis JMS

Variant of the basis suggested by Jenkins, Manohar, and Stoffer (arXiv:1709.04486) with only four dynamical quark flavors.

List of operators (PDF)

Basis flavio

List of operators (PDF)

Basis Bern

List of operators (PDF)