Abstract
Lorentz-symmetry breakdown in weak-interaction physics is studied. In particular, the CPT-even Lorentz-violating contributions to the Z boson in the minimal Standard-Model Extension are considered, and in this context polarized electron–electron scattering is investigated. Corrections to the usual parity-violating asymmetry are determined at tree level. Together with available data, this result can be used to improve existing estimates for the Lorentz-violating kW coefficient by two orders of magnitude. Some implications for past and future experiments are mentioned.
Highlights
A key concept in our present understanding of classical spacetime is Lorentz symmetry. This symmetry has been scrutinized experimentally with ever increasing sensitivity, and no compelling evidence for deviations from Lorentz invariance has been found to date
To determine the low-energy phenomenology associated with the above lagrangian contributions (1), (2), and (4), we need to consider the issue of spontaneous electroweak SU(2) × U(1) symmetry breakdown
We have determined the dominant Feynman rules that govern these effects and employed them to calculate the tree-level Lorentz-violating corrections to electron–electron scattering. These general results, contained in Eqs. (29) and (30), form the theoretical basis for experimental investigations of the leading-order Lorentz-breaking effects arising from the Z boson in polarized Møller scattering of electrons
Summary
A key concept in our present understanding of classical spacetime is Lorentz symmetry. For the description of the ensuing Lorentz-breaking effects at presently attainable energies, the Standard-Model Extension (SME) framework has been developed [9,10]. The SME is based on effective field theory, incorporates the usual Standard Model and General Relativity as limiting cases, and contains general Lorentz- and CPT-violating operators of arbitrary mass dimension. This framework is expected to provide an adequate characterization of low-energy departures from Lorentz symmetry regardless of their Planck-scale origin. The present work is aimed at analyzing a different set of phenomenological effects in this context that could potentially be used for alternative measurements of SME coefficients associated with the massive gauge bosons.
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