by $J$ changes the multiplet spectra drastically. We conclude that the structures in LDA+DMFT-IPT(1) spectra is broadened and smoothed due to the multiplet scattering of ${\mbox{d}}^7 {\rightarrow}{\mbox{d}}^6$ and ${\mbox{d}}^6 {\rightarrow}{\mbox{d}}^5$ at $-6.0~{\mbox{eV}}< {\omega}< -2.0~{\mbox{eV}}$ and that of ${\mbox{d}}^7 {\rightarrow}{\mbox{d}}^8$ and ${\mbox{d}}^6 {\rightarrow}{\mbox{d}}^7$ at around $1.5~{\mbox{eV}}$ in bcc-Fe and that of ${\mbox{d}}^9 {\rightarrow}{\mbox{d}}^8$ and ${\mbox{d}}^8 {\rightarrow}{\mbox{d}}^7$ at around $-6.0~{\mbox{eV}}< {\omega}<-2.0~{\mbox{eV}}$ in fcc-Ni.

${\bm k}$-resolved spectrum and magnetic moment {#sec:Gkw-Fe-Ni-result}
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Figure \[fig:Gkw-Fe-Ni\] shows the ${\bm k}$-resolved spectrum $- \mbox{Im}\,{\mathscr{G}}({\bm k},{\omega})$ by LDA+DMFT-IPT(1) with the LDA energy bands. LDA results overestimate the width of occupied 3d valence bands, which is defined to be the energy difference between the Fermi energy and the energy eigenvalue at P-point (Fe) or L-point (Ni), in comparison with experimental results. The width of occupied 3d valence bands and the magnetic moment in LDA+DMFT-IPT(1) are shown in Table \[tab:parameters\_and\_results\] in comparison with those by LDA and the experiments. [@re:Fe-Ni-expt-mag-mom; @re:Fe-expt-XPS1; @re:Ni-expt-XPS1] The valence band width of LDA+DMFT-IPT(1) is in reasonable agreement with experiments.

One can observe flat branches in bcc-Fe at around $-1.5~{\mbox{eV}}$ of majority spin and that at around $-2~{\mbox{eV}}$ of minority spin. These flat bands correspond to the local multiplet excitations of ${\mbox{d}}^7 {\rightarrow}{\mbox{d}}^6$. One can 