Abstract
We study and Lorentz violation in the electroweak gauge sector of the Standard Model in the context of the Standard-Model Extension. In particular, we consider the Lorentz-violating and -odd Chern-Simons like parameter for the boson, which is thus far unbounded by experiment. We demonstrate that any nonzero value of this parameter implies that, for sufficiently large energies, one of the polarization modes of the boson propagates with spacelike four-momentum. In this scenario, an emission of bosons by ultra-high-energy cosmic rays is possible. We calculate the induced fermion energy-loss rate, and we deduce the first limit on the pertinent Lorentz- and -violating parameter that couples to the boson. Consistency between the quantum description in various reference frames is preserved by using a recently formulated covariant quantization procedure for massive photons and applying it to the bosons.
- Received 20 April 2017
DOI:https://doi.org/10.1103/PhysRevD.96.035034
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