  In this work we investigate the implication of low-energy precision
measurements on the quark-lepton charged currents in general neutrino
interactions with sterile neutrinos in effective field theories. The physics in
low-energy measurements is described by the low-energy effective field theory
extended with sterile neutrinos (LNEFT) defined below the electroweak scale. We
also take into account renormalization group running and match the LNEFT onto
the Standard Model (SM) effective field theory with sterile neutrinos (SMNEFT)
to constrain new physics (NP) above the electroweak scale. The most sensitive
low-energy probes are from leptonic decays of pseudoscalar mesons and hadronic
tau lepton decays in terms of precise decay branching fractions, the lepton
flavor universality and the Cabibbo-Kobayashi-Maskawa (CKM) unitarity. We also
consider other constraints including nuclear beta decay. The constraints on
charged current operators are generally stronger than the ones for
quark-neutrino neutral current operators. We find that the most stringent
bounds on the NP scale of lepton-number-conserving and lepton-number-violating
operators in SMNEFT are 74 (110) TeV and 9.8 (13) TeV, respectively, for the
operators with down (strange) quark.
