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In this paper, we presented the zero- and first-order radiative correctionsto the Casimir energy for a massive scalar field confined with Dirichletboundary condition in an open-ended rectangular waveguide. In the calculationprocedure, we applied a systematic renormalization program that allows allinfluences imposed by dominant boundary conditions in a problem beautomatically reflected in the counterterms, leading the counterterms to beobtained in a position-dependent manner. To remove the appeared divergences inthe computation task, the Box Subtraction Scheme as a regularization techniquewas used. In this regularization technique, usually, two similar configurationswere introduced. Then, to find the Casimir energy, the zero point energies ofthese two configurations were subtracted from each other via definingappropriate limits. In the present work, first, the leading-order Casimirenergy for the massive scalar field in a waveguide is briefly presented. Next,by applying this renormalization and regularization procedures, the first-orderradiative correction to the Casimir energy in the waveguide is calculated.Finally, all the necessary limits of the obtained answers for massive andmassless cases are computed and the consistency of the obtained results arediscussed.

The Dirichlet Casimir Energy For \phi^4 Theory in a Rectangular Waveguide