Reply to "Comment on 'First-principles calculation of the superconducting transition in MgB2 within the anisotropic Eliashberg formalism' " -: art. no. 056502

The preceding comment by Mazin on our work makes two claims: (1) the calculated variations of the superconducting energy gap within the sigma or the pi bands are not observable in real samples due to scatterings, and (2) the Coulomb repulsion mu(k,k(')) is negligibly small between sigma and pi states and thus should be approximated by a diagonal 2x2 matrix in the sigma and pi channels. Here, we point out that the former does not affect the validity of our theoretical work, which is for the clean limit, and that the latter is based on an oversimplified estimation of mu.