Limits on Lorentz violation from forbidden beta decays

Abstract

Forbidden (slow) beta decays offer new opportunities to test the invariance of the weak interaction under Lorentz transformations. Within a general effective field theory framework we analyze and reinterpret the only two relevant experiments, performed in the 1970s, dedicated to search for a preferred direction in space in first- and second-forbidden beta decays. We show that the results of these experiments put strong and unique limits on Lorentz violation, and in particular on the presence of several interactions in the modern Lorentz-violating Standard Model extension. We discuss prospects to improve on these limits.

10 pages

References in corpus (3)

• New limit on Lorentz and CPT-violating neutron spin interactions
• Test of Lorentz invariance with spin precession of ultracold neutrons
• First Test of Lorentz Invariance in the Weak Decay of Polarized Nuclei

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• Beta spectrum of unique first-forbidden decays as a novel test for fundamental symmetries
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• Testing Lorentz invariance in orbital electron capture
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• Exploration of Lorentz violation in neutral-kaon decay
• NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
• Testing Lorentz-symmetry violation via electroweak decays
• Matter-Antimatter Asymmetry - Aspects at Low Energy
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Test of Lorentz invariance in $\beta$ decay of polarized ${}^{20}\text{Na}$
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
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