  We have systematically investigated the spin-$\frac{3}{2}$ to
spin-$\frac{1}{2}$ doubly charmed baryon transition magnetic moments to the
next-to-next-to-leading order in the heavy baryon chiral perturbation theory
(HBChPT). Numerical results of transition magnetic moments and decay widths are
presented to the next-to-leading order:
$\mu_{\Xi_{cc}^{*++}\rightarrow\Xi_{cc}^{++}}=-2.35\mu_{N}$,
$\mu_{\Xi_{cc}^{*+}\rightarrow\Xi_{cc}^{+}}=1.55\mu_{N}$,
$\mu_{\Omega_{cc}^{*+}\rightarrow\Omega_{cc}^{+}}=1.54\mu_{N}$,
$\Gamma_{\Xi_{cc}^{*++}\rightarrow\Xi_{cc}^{++}}=22.0$ keV,
$\Gamma_{\Xi_{cc}^{*+}\rightarrow\Xi_{cc}^{+}}=9.57$ keV,
$\Gamma_{\Omega_{cc}^{*+}\rightarrow\Omega_{cc}^{+}}=9.45$ keV.
