Hadronic & Nuclear Matrix Elements: "Best Values" and Uncertainties
Prog.Part.Nucl.Phys. 71 (2013) 21-74
This review article provides an overview of electric dipole moments of nucleons, light nuclei, neutral atoms and molecules. The sensitivity of these systems to various underlying CP-violating operators is presented, along with an assessment of the theoretical uncertainties associated with atomic, hadronic, and nuclear calculations. Illustrative beyond Standard Model EDM results are reviewed, with a particular emphasis on recent work. Tables 7 and 13 provide a summary of "best" values and "reasonable ranges" for the hadronic and nuclear matrix element computations.
Best values and reasonable ranges for hadronic matrix elements of QCD theta term and dimension six CP-violating operators. Columns 2-4 give the dependence of the neutron EDM to a given CPV source. Columns 5-7 give the sensitivity of the isoscalar and isovector T- and P-violating pion nucleon couplings to the CPV source. First row corresponds to the QCD theta term. Rows 2-4 give sensitivity to the quark chromo-EDM expressed in terms of the dimensionless Wilson coefficient (row 2), dimensionful CEDM (row 3) and dimensionless Wilson coefficient with light quark Yukawa coupling factored out (row 4). Rows 5-7 give corresonding sensitivity to the quark EDMs. Row 8 gives sensitivity to the CPV three-gluon operator, while row 9 indicates sensitivity to the CPV quark-Higgs operator that induces a four-fermion CPV operator. Rows 10-12 give sensitivities to four fermion operators.
Best values and reasonable ranges for the sensitivities of nuclear Schiff moments to the T- and P-violating pion nucleon couplings. The quantities a0, a1, and a2 give sensitivities to the isoscalar, isovector, and isotensor couplings, respectively, normalized to the strong pion-nucleon coupling(written in terms of nucleon mass, axial coupling, and pion decay constant).