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

Carlos M. Reyes, Sebastian Ossandon, Camilo Reyes

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageEnglish
Pages (from-to)190-193
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 1 Jun 2015


  • Higher-order operators
  • Lorentz violations
  • QED extension


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