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# Radiative corrections to Lorentz-invariance violation with higher-order operators: Fine-tuning problem revisited

## Resumen

We study the possible effects of large Lorentz violations that can appear in the effective models in which the Lorentz symmetry breakdown is performed with higher-order operators. For this we consider the Myers and Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We focus on the fermion self-energy at one-loop order and find small and finite radiative corrections in the even CPT sector. In the odd CPT sector a lower dimensional operator is generated which contains unsuppressed effects of Lorentz violation leading to a possible fine-tuning. For the calculation of divergent diagrams we use dimensional regularization and consider an arbitrary background four-vector.

Autores: Ossandón, S., Reyes, C., Reyes, C. M.

Journal: Nuclear and Particle Physics Proceedings

Journal Volume: 267-269

Journal Issue:

Journal Page: 194-198

Fecha de publicación: 2015

Topics: violation: Lorentz, symmetry: Lorentz, regularization: dimensional, fermion: propagator, radiative correction, CPT, quantum electrodynamics, perturbation theory: higher-order

URL de la publicación: http://www.sciencedirect.com/science/article/pii/S2405601415010615

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