TY - JOUR

T1 - Radiative corrections to Lorentz-invariance violation with higher-order operators

T2 - Fine-tuning problem revisited

AU - Ossandon, Sebastian

AU - Reyes, Camilo

AU - Reyes, Carlos M.

N1 - Funding Information:
C.M.R. thanks Markos Maniatis for helpful discussions and acknowledges support from the projects FONDECYT REGULAR # 1140781 and DIUBB # 141709 4/R.
Publisher Copyright:
© 2015 Elsevier B.V..

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84983109341&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysbps.2015.10.102

DO - 10.1016/j.nuclphysbps.2015.10.102

M3 - Article

AN - SCOPUS:84983109341

VL - 267-269

SP - 194

EP - 198

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

ER -