Hadron Electric Dipole Moments from CP-Odd Operators of Dimension Five Via QCD Sum Rules: The Vector Meson

We present a complete analysis of the electric dipole moment (EDM) of the \rho-meson induced by CP violating operators of dimension 4 and 5 within the QCD sum rules approach. The set of CP-odd operators includes the theta term and the electric and chromoelectric dipole moments of the three light quarks. We find that the \rho-meson EDM induced purely by the EDMs of quarks is smaller, but still in reasonable agreement, with the predictions of a naive constituent quark model. However, the chromoelectric dipole moments, including that of the strange quark, give comparable and sometimes larger contributions. We also consider the effect on the hadronic EDM of the existence of Peccei-Quinn symmetry. When this symmetry is active, chromoelectric dipole moments induce a linear term in the axion potential which leads to a numerically important vacuum contribution to the hadronic EDM.Comment: 11 pages, 1 figur

MSSM Predictions for the Electric Dipole Moment of the 199^{199}Hg Atom

The Minimal Supersymmetric Standard Model can possess several CP-violating phases beyond the conventional Cabibo-Kobayashi-Maskawa phase. We calculate the contribution of these phases to T-violating nuclear forces. These forces induce a Schiff moment in the $^{199}$Hg nucleus, which is strongly limited by experiments aimed at the detection of the electric dipole moment of the mercury atom. The result for $d_{Hg}$ is found to be very sensitive to the CP-violating phases of the MSSM and the calculation carries far fewer QCD uncertainties than the corresponding calculation of the neutron EDM. In certain regions of the MSSM parameter space, the limit from the mercury EDM is stronger than previous constraints based on either the neutron or electron EDMs. We present combined constraints from the mercury and electron EDMs to limit both CP-violating phases of the MSSM. We also present limits in mSUGRA models with unified gaugino and scalar masses at the GUT scale.Comment: 21 pages in LaTeX, including 13 encapsulated postscript figure

Edms in SUSY GUTS

Hadronic and leptonic EDMs in SUSY GUTs are reviewed in this article.Comment: Talk given at NuFact04, Osaka, Japan, July 26 - August 1,2004 - 3 pages, 2 figure

How strange a non-strange heavy baryon?

We give some general arguments in favor of the large magnitude of matrix elements of an operator associated with nonvalence quarks in heavy hadrons. We estimate a strange matrix element for \Lambda_b baryon whose valence content is b, u, d quarks. We find a noticeable contribution of the strange quark into the heavy baryon mass on the level 200-300 MeV. The arguments are based on the QCD sum rules and low energy theorems. The physical picture behind of the phenomenon is somewhat similar to the one associated with the large strange content of the nucleon where matrix element. We discuss some possible applications of the obtained result.Comment: A final version to appear in Phys. Lett. B. New section on the violation of the Zweig's rule is adde

Variations of the Neutralino Elastic Cross-Section with CP Violating Phases

We analyze the neutralino-nucleus elastic cross-section in the MSSM, including contributions from CP-violating phases, using the four-fermi neutralino-quark interaction. Over a wide range of the MSSM parameter space we show the variations in the cross-sections due to these phases. We further concentrate on the regions which are consistent with constraints from the electric dipole moment of the electron, neutron and mercury atom. In the regions we examine in detail, we find suppressions by up to a factor of two, while enhancements in the cross-sections are no greater than $\sim$ 10%.Comment: 15 pages, latex, 26 ps figure

Theta Vacua, QCD Sum Rules, and the Neutron Electric Dipole Moment

We present a detailed study of the electric dipole moment of the neutron induced by a vacuum theta angle within the framework of QCD sum rules. At next-to-next-to leading order in the operator product expansion, we find the result d_n(\theta) = 2.4 x 10^{-16} \theta e cm, to approximately 40% precision. With the current experimental bound this translates into a limit on the theta parameter of |\theta| < 3 x 10^{-10}. We compare this result with the long-standing estimates obtained within chiral perturbation theory, and observe a numerical similarity, but also significant differences in the source of the dominant contribution.Comment: 23 pages, latex; v3: references added; v4: missing overall factor of two reinstate

Weak Radiative Hyperon Decays and Vector Meson Dominance

We study the question whether the phenomenologically successful VMD approach to weak radiative hyperon decays can be made consistent with Hara's theorem and still yield the pattern of asymmetries exhibited by experimental data. It appears that an essential ingredient which governs the pattern of asymmetries is the off-shell behaviour of the input electromagnetic 1/2^- 1/2^+ \gamma couplings. Although this behaviour can be chosen in such a way that the experimentally observed pattern is obtained, and yet Hara's theorem satisfied, at the same time the approach yields a definite prediction for the size of weak meson-nucleon coupling constants. Comparison with experiment reveals then another conflict.Comment: Talk given at 3rd International Conference on Hyperons, Charm and Beauty Hadrons, Genoa, Italy, 30 Jun - 3 Jul 1998; To appear in Nuclear Physics B, Proceedings Supplements; 4 pages, LaTeX, uses espcrc2.sty (can be obtained from http://www.nucphys.nl

Neutron EDM from Electric and Chromoelectric Dipole Moments of Quarks

Using QCD sum rules, we calculate the electric dipole moment of the neutron d_n induced by all CP violating operators up to dimension five. We find that the chromoelectric dipole moments of quarks \tilde d_i, including that of the strange quark, provide significant contributions comparable in magnitude to those induced by the quark electric dipole moments d_i. When the theta term is removed via the Peccei-Quinn symmetry, the strange quark contribution is also suppressed and d_n =(1\pm 0.5)[1.1e(\tilde d_d + 0.5\tilde d_u)+1.4(d_d-0.25d_u)].Comment: 4 pages, revtex, v2: missing overall factor of two reinstate

Light Gauginos - a Solution to More than the EDMs?

In this talk I want to present questions that remained unclear to me in the last years. These questions concern the Electric Dipole Moments of electron and neutron and the way people exclude regions of parameter space.Comment: 7 pages, 2 eps-figues included, uses espcrc2.sty, submitted to conference proceedings for SUSY30; one error in dimensions correcte

What do heavy-light (Qqˉ Q\bar{q} ) quark systems tell us about QCD vacuum properties?

Arguments in favor of a large magnitude ( at least two- three times bigger than its factorized value) of the mixed vacuum condensate \la \bar{q}G_{\mu\nu}^a G_{\mu\nu}^a q \ra are given. The analysis is based on the strict inequalities which follow from the QCD sum rules method and on very plausible phenomenological assumptions like $m_{B_s} > m_{B_u}$ for the few lowest exited $Q\bar{q}$ states in a heavy quark limit $m_Q\rightarrow\infty$. The same arguments show the suppression of the $SU(3)$ symmetry breaking effects for vacuum condensates when the additional gluon fields are included.Comment: SMU-HEP-PH-9323, 18pages, LATE