### Resumen

The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We compute the fermion self-energy at one-loop order considering its even and odd CPT contributions. In the even sector we find small radiative corrections to the usual parameters of QED which also turn to be finite. In the odd sector the axial operator is shown to contain unsuppressed effects of Lorentz violation leading to a possible fine-tuning. We use dimensional regularization to deal with the divergencies and a generic preferred four-vector. Taking the first steps in the renormalization procedure for Lorentz violating theories we arrive to acceptable small corrections allowing to set the bound ξ<6×10^{-3}.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 190-193 |

Número de páginas | 4 |

Publicación | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volumen | 746 |

DOI | |

Estado | Published - 1 jun 2015 |

Publicado de forma externa | Sí |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*746*, 190-193. https://doi.org/10.1016/j.physletb.2015.05.006

}

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 746, pp. 190-193. https://doi.org/10.1016/j.physletb.2015.05.006

**Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning.** / Reyes, Carlos M.; Ossandon, Sebastian; Reyes, Camilo.

Resultado de la investigación: Article

TY - JOUR

T1 - Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning

AU - Reyes, Carlos M.

AU - Ossandon, Sebastian

AU - Reyes, Camilo

PY - 2015/6/1

Y1 - 2015/6/1

N2 - The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We compute the fermion self-energy at one-loop order considering its even and odd CPT contributions. In the even sector we find small radiative corrections to the usual parameters of QED which also turn to be finite. In the odd sector the axial operator is shown to contain unsuppressed effects of Lorentz violation leading to a possible fine-tuning. We use dimensional regularization to deal with the divergencies and a generic preferred four-vector. Taking the first steps in the renormalization procedure for Lorentz violating theories we arrive to acceptable small corrections allowing to set the bound ξ<6×10-3.

AB - The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We compute the fermion self-energy at one-loop order considering its even and odd CPT contributions. In the even sector we find small radiative corrections to the usual parameters of QED which also turn to be finite. In the odd sector the axial operator is shown to contain unsuppressed effects of Lorentz violation leading to a possible fine-tuning. We use dimensional regularization to deal with the divergencies and a generic preferred four-vector. Taking the first steps in the renormalization procedure for Lorentz violating theories we arrive to acceptable small corrections allowing to set the bound ξ<6×10-3.

KW - Higher-order operators

KW - Lorentz violations

KW - QED extension

UR - http://www.scopus.com/inward/record.url?scp=84929191943&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2015.05.006

DO - 10.1016/j.physletb.2015.05.006

M3 - Article

AN - SCOPUS:84929191943

VL - 746

SP - 190

EP - 193

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -