Tests of Lorentz and CPT symmetry with hadrons and nuclei

Abstract

We explore the breaking of Lorentz and CPT invariance in strong interactions at low energy in the framework of chiral perturbation theory. Starting from the set of Lorentz-violating operators of mass-dimension five with quark and gluon fields, we construct the effective chiral Lagrangian with hadronic and electromagnetic interactions induced by these operators. We develop the power-counting scheme and discuss loop diagrams and the one-pion-exchange nucleon-nucleon potential. The effective chiral Lagrangian is the basis for calculations of low-energy observables with hadronic degrees of freedom. As examples, we consider clock-comparison experiments with nuclei and spin-precession experiments with nucleons in storage rings. We derive strict limits on the dimension-five tensors that quantify Lorentz and CPT violation.

38 pages, 1 figure, updated to match published version

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• Nuclear spin-dependent interactions: Searches for WIMP, Axion and Topological Defect Dark Matter, and Tests of Fundamental Symmetries
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• Electric Dipole Moments as Probes of CPT Invariance
• Limits on Lorentz violation from charged-pion decay
• Testing Lorentz invariance in orbital electron capture

Cited by in corpus (15)

• Nuclear effective field theory: status and perspectives
• Gauge field theories with Lorentz-violating operators of arbitrary dimension
• Lorentz violation and deep inelastic scattering
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• Gluonic Lorentz violation and chiral perturbation theory
• Lorentz violation and the electron-ion collider
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Beta-Decay Spectrum and Lorentz Violation
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Lorentz and CPT Violation in Partons
• Quark-sector Lorentz violation in $Z$-boson production
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Testing Lorentz Symmetry using Chiral Perturbation Theory