Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
Here, we present lattice QCD results on the neutron tensor charges including, for the first time, a simultaneous extrapolation in the lattice spacing, volume, and light quark masses to the physical point in the continuum limit. We find that the “disconnected” contribution is smaller than the statistical error in the “connected” contribution. Our estimates in the modified minimal subtraction scheme at 2 GeV, including all systematics, are 𝑔$^{𝑑−𝑢}_𝑇$ =1.020(76), 𝑔$^𝑑_𝑇$ = 0.774(66), 𝑔$^𝑢_𝑇$ = −0.233(28), and 𝑔$^𝑠_𝑇$ = 0.008(9). The flavor diagonal charges determine the size of the neutron electric dipole moment (EDM) induced by quark EDMs that are generated in many new scenarios of 𝐶𝑃 violation beyond the standard model. We use our results to derive model-independent bounds on the EDMs of light quarks and update the EDM phenomenology in split supersymmetry with gaugino mass unification, finding a stringent upper bound of 𝑑 𝑛 < 4 × 10 −28 𝑒 cm for the neutron EDM in this scenario.