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In the $m_Q\rightarrow\infty$ limit, the hyperfine splittings in the groundstate doubly heavy baryons $\left(QQq\right)$ and single heavy antimesons$(\bar{Q}q)$ are related by heavy quark-diquark symmetry (HQDQ) as the lightdegrees of freedom in both the hadrons are expected to have identicalconfigurations. In this article, working within the framework ofnonrelativistic QCD (NRQCD), we study the perturbative and nonperturbativecorrections to the HQDQ symmetry hyperfine splitting relation that scale as${\cal O}\left(\alpha_s^2\right)$ and $\Lambda_{\rm QCD}^2/m_Q^2$ respectively.In the extreme heavy quark limit, the perturbative corrections to hyperfinesplitting of doubly charm or bottom baryons are a few percent or smaller. Thenonperturbative corrections to hyperfine splitting are of order $10\%$ in thecase of doubly charm baryons and $1\%$ or smaller in doubly bottom baryons.

Double Heavy baryons and Corrections to Heavy Quark-Diquark Symmetry Prediction for Hyperfine Splitting