Compilation of low-energy constraints on 4-fermion operators in the SMEFT

Abstract

We compile information from low-energy observables sensitive to flavor-conserving 4-fermion operators with two or four leptons. Our analysis includes data from e+e- colliders, neutrino scattering on electron or nucleon targets, atomic parity violation, parity-violating electron scattering, and the decay of pions, neutrons, nuclei and tau leptons. We recast these data as tree-level constraints on 4-fermion operators in the Standard Model Effective Field Theory (SMEFT) where the SM Lagrangian is extended by dimension-6 operators. We allow all independent dimension-6 operators to be simultaneously present with an arbitrary flavor structure. The results are presented as a multi-dimensional likelihood function in the space of dimension-6 Wilson coefficients, which retains information about the correlations. In this form, the results can be readily used to place limits on masses and couplings in a large class of new physics theories.

39 pages; full correlation matrix and likelihood function available in Mathematica notebook at https://www.dropbox.com/s/26nh71oebm4o12k/SMEFTlikelihood.nb?dl=0 v2: comments and references added, translation to Warsaw basis provided in notebook; v3: references added