Contributions to Pion Decay from Lorentz Violation in the Weak Sector

Abstract

Lorentz violation in the weak sector would affect the beta-decay lifetimes of pions. The decay amplitude may be rendered anisotropic, but only an isotropic violation of boost invariance can affect the net lifetime in the center of mass frame. However, since the rest frames of the pions that produce the NuMI neutrino beam at Fermilab vary with the rotation of the Earth, it is possible to constrain anisotropic Lorentz violation using prior analyses of sidereal variations in the event rate at the MINOS near detector. The resulting bounds on weak-sector Lorentz violation are at the 10^(-4) level, a substantial improvement over previous results. The highly relativistic character of the pions involved is responsible for the improvement.

16 pages

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• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Limits on Lorentz violation from charged-pion decay
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Testing Lorentz invariance in orbital electron capture
• Question of Lorentz invariance in muon decay
• Concurrent tests of Lorentz invariance in $\beta$-decay experiments
• Exploration of Lorentz violation in neutral-kaon decay
• One-loop structure of the photon propagator in the Standard Model Extension
• Phenomenological Implications of Very Special Relativity
• 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 ${}^{20}\text{Na}$
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Lorentz Violation in Fermion-Antifermion Decays of Spinless Particles