Abstract

We show that the proposed measurements of the electric dipole moments of light nuclei in storage rings would put strong constraints on models of flavor-diagonal CP violation. Our analysis is exemplified by a comparison of the Standard Model including the QCD theta term, the minimal left-right symmetric model, a specific version of the so-called aligned two-Higgs doublet model, and briefly the minimal supersymmetric extension of the Standard Model. By using effective field theory techniques we demonstrate to what extend measurements of the electric dipole moments of the nucleons, the deuteron, and helion could discriminate between these scenarios. We discuss how measurements of electric dipole moments of other systems relate to the light-nuclear measurements.

Highlights

  • The Standard Model (SM) of particle physics contains in the quark sector two sources of P and T violation.1 The best understood source is the phase that is present in the threegeneration quark mixing matrix, the Cabibbo-Kobayashi-Maskawa (CKM) [1, 2] matrix, that induces CP -violating effects in flavor-changing processes

  • In this work we have investigated, by using four different models of flavor-diagonal CP violation, how distinct CP scenarios leave their footprint in electric dipole moments (EDMs) of different systems

  • Such a study has to be performed in several steps: first, the models are analyzed at some high-energy scale where perturbation theory applies

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Summary

Introduction

The Standard Model (SM) of particle physics contains in the quark sector two sources of P and T violation. The best understood source is the phase that is present in the threegeneration quark mixing matrix, the Cabibbo-Kobayashi-Maskawa (CKM) [1, 2] matrix, that induces CP -violating effects in flavor-changing processes. The assumption of one dominant dimension-six operator at low energies might not be the most likely one To investigate this in more detail, we study in this work four distinct scenarios of non-KM CP violation and investigate whether EDM measurements can discriminate between them. We shortly discuss another popular BSM model with non-KM CP violation, the minimal supersymmetric extension (MSSM) of the Standard Model In this model, the contribution to the hadronic EDMs is, in general, not dominated by just one P/ /T operator at the level of quarks and gluons. We argue that chiral effective field theory is a powerful tool to study these observables and show that measurements of light-nuclear EDMs can be used to disentangle different scenarios.

Four scenarios of CP violation
The QCD θterm The QCD Lagrangian for two quark flavors is given by LQCD
The minimal left-right symmetric model
The aligned two-Higgs-doublet model
The MSSM
The chiral Lagrangian
Parity- and time-reversal-odd pion-nucleon interactions
The θscenario
The minimal left-right symmetric scenario
The a2HDM and MSSM scenarios
The EDMs of the neutron and proton
A short intermediate summary
EDMs of light nuclei
The EDM of the deuteron
The mLRSM scenario
The deuteron EDM: an overview
The EDMs of the helion and triton
Tri-nucleon EDMs: an overview
EDMs of other systems
The EDMs of paramagnetic systems
The 199Hg EDM
Testing strategies
Expected sensitivities
How to improve the theoretical accuracy
Summary
Findings
A The minimal left-right symmetric model
Full Text
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