Nucleon charges from Lattice QCD and their Implications for BSM Physics

An overview of the lattice QCD calculations of the charges, $g_{A,S,T}^{u,d,s}$, of nucleons and their implications for SM and BSM physics is presented. The axial charges, $g_{A}^{u,d,s}$, give the contribution of the intrinsic spin of the quarks to the nucleon; the tensor charges, $g_{T}^{u,d,s}$, give the contribution of the quark electric dipole moment operator to the nucleon EDM and are also the second Mellin moments of the transversity distribution of quarks in nucleons; and from the scalar charges $g_{A}^{u,d,s}$, we calculate the pion-nucleon sigma term $\sigma_{\pi N}$ and the strangeness content, $\sigma_s$, of the nucleon. The lattice QCD results for these charges are, in most cases, the most precise and are being used as input in phenomenological analyses. The complete set of charges, $g_{A,P,S,T,V}^{u,d,s,c,b,t}$, give the couplings, in low energy effective field theory formulation, of dark matter or novel Higgs-like interactions with nucleons in various Lorentz channels.