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In this paper, we study a CPT-even Lorentz-breaking extension of the scalarQED. For this theory, we calculate the one-loop lower-order contributions inthe Lorentz-violating parameters to the two-point functions of scalar and gaugefields. We found that the two background tensors, coming from the two sectors(scalar and gauge) are mixed in the one-loop corrections both in finite anddivergent parts. This shows that these two Lorentz-breaking terms cannot bestudied in an isolated form. Besides, the results in the gauge sector areconfirmed to be transversal.

One-loop calculations in CPT-even Lorentz-breaking scalar QED