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Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond

Published 10 Mar 2013 in nucl-th, hep-ph, and nucl-ex | (1303.2371v1)

Abstract: Searches for the permanent electric dipole moments (EDMs) of molecules, atoms, nucleons and nuclei provide powerful probes of CP violation both within and beyond the Standard Model (BSM). The interpretation of experimental EDM limits requires careful delineation of physics at a wide range of distance scales, from the long-range atomic and molecular scales to the short-distance dynamics of physics at or beyond the Fermi scale. In this review, we provide a framework for disentangling contributions from physics at these disparate scales, building out from the set of dimension four and six effective operators that embody CP violation at the Fermi scale. We survey existing computations of hadronic and nuclear matrix elements associated with Fermi-scale CP violation in systems of experimental interest, and quantify the present level of theoretical uncertainty in these calculations. Using representative BSM scenarios of current interest, we illustrate how the interplay of physics at various scales generates EDMs at a potentially observable level.

Citations (434)

Summary

  • The paper presents an effective field theory framework to quantify CP violation via EDMs, linking experimental probes to both Standard Model and BSM physics.
  • It details rigorous computational approaches, including HBχPT and lattice QCD, to evaluate hadronic and nuclear matrix element uncertainties.
  • The study highlights the potential of future EDM experiments to uncover new CPV mechanisms and address the matter–antimatter asymmetry in the universe.

Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond

The paper "Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond" by Engel, Ramsey-Musolf, and van Kolck provides a comprehensive analysis of the electric dipole moments (EDMs) as probes of CP violation (CPV). It meticulously examines the establishment and implications of CPV within and beyond the Standard Model (BSM), highlighting the significance of EDMs in experimental searches and theoretical frameworks.

Overview

  1. CP Violation in the Standard Model and Beyond:
    • EDMs in molecules, atoms, nucleons, and nuclei serve as powerful probes for CPV.
    • Within the Standard Model, CPV is appreciated through the Cabibbo-Kobayashi-Maskawa (CKM) matrix, characterized by a complex phase.
    • The paper explores the implications of extending SM by dimension-four and dimension-six operators that capture CPV phenomena, acknowledging the limitation of the Standard Model in explaining observed Universe matter-antimatter asymmetry.
  2. Theoretical Frameworks:
    • The paper proposes an effective field theory framework to disentangle contributions from various scales: from the atomic to the sub-fermi dynamics.
    • It quantifies theoretical uncertainties from hadronic and nuclear matrix elements and integrates representative BSM scenarios for comprehensive illustrations.
  3. Matrix Element Computation and Constraints:
    • Surveys existing computations of hadronic and nuclear matrix elements aligned with CPV at the Fermi scale and discusses the theoretical uncertainties prevalent in these calculations.
    • Dimensional analysis provides insights into expected scaling behaviors for operator contribution estimation.
  4. Implications and Future Directions:
    • By positioning EDM searches within the larger BSM exploration program, the article elucidates their capability to unveil new CPV physics.
    • Future experiments on EDMs have the potential to probe CPV mechanisms significantly and provide complementary insights alongside high-energy collider experiments.

Key Results and Claims

  • Scaling and Uncertainties: The paper emphasizes contrasting expectations from EDM contributions in both strong QCD CPV and BSM CPV mechanisms. Theoretical uncertainties in computations from lattice QCD, quantum perturbative expansion models, and sum rules are analyzed in intricate detail.
  • Calculational Approaches: HBχ\chiPT and various symmetry considerations offer methodical approaches to unpack low- and high-energy phenomena contributing to observable EDMs.
  • BSM Interactions: Distinctive attention is given to potential BSM interactions, such as additional CPV sources not inherent in flavor-changing interactions. Scenarios like supersymmetry (SUSY) with its heavy particle loops, for instance, could interplay significantly with observable EDMs.

Implications for the Field

The framework and analysis articulated in the paper hold profound implications for theoretical and experimental physics. EDMs, as CPV observables, are mooted as formidable probes for uncovering new physics beyond the Standard Model. These efforts align with ongoing experimental endeavors aiming to enhance sensitivities to EDMs, thereby pushing theoretical models and experimental designs towards addressing CPV's fundamental questions.

By scrutinizing dimension-four and -six operators in an effective field theoretical context, the paper significantly advances the dialogue around CPV and associated unresolved questions in fundamental physics. Future exploration informed by the insights of this analysis may open paths to understanding the cosmic matter-antimatter asymmetry, potentially reshaping theoretical constructs of CPV.

In conclusion, Engel, Ramsey-Musolf, and van Kolck afford a critical examination of EDMs across scales, anchoring them as indispensable tools in the pursuit of new CPV insights, offering theoretical rigor to ongoing and future experimental pursuits.

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