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RADIATIVE CORRECTIONS TO LORENTZ-INVARIANCE VIOLATION WITH HIGHER-ORDER OPERATORS: FINE-TUNING PROBLEM REVISITED

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2015
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NUCLEAR AND PARTICLE PHYSICS PROCEEDINGS
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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.
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