The prospects for measuring the branching fraction of H→μ+μ-\documentclass[12pt]{minimal}
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\begin{document}$$H \rightarrow \mu ^{+} \mu ^{-}$$\end{document} at the International Linear Collider (ILC) have been evaluated based on a full detector simulation of the International Large Detector (ILD) concept, considering centre-of-mass energies (s\documentclass[12pt]{minimal}
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\begin{document}$$\sqrt{s}$$\end{document}) of 250 GeV and 500 GeV with two different beam polarisation configurations of P(e-,e+)=(-80%,+30%)\documentclass[12pt]{minimal}
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\begin{document}$${\mathcal {P}} (e^{-}, e^{+}) = (-\,80{\%}, +\,30{\%})$$\end{document} and (+80%,-30%)\documentclass[12pt]{minimal}
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\begin{document}$$(+\,80{\%}, -\,30{\%})$$\end{document}. For both s\documentclass[12pt]{minimal}
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\begin{document}$$\sqrt{s}$$\end{document} cases, the two final states e+e-→qq¯H\documentclass[12pt]{minimal}
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\begin{document}$$e^{+} e^{-} \rightarrow q\overline{q}H$$\end{document} and e+e-→νν¯H\documentclass[12pt]{minimal}
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\begin{document}$$e^{+} e^{-} \rightarrow \nu \overline{\nu }H$$\end{document} have been analyzed. For integrated luminosities of 2 ab-1\documentclass[12pt]{minimal}
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\begin{document}$$\hbox {ab}^{-1}$$\end{document} at s=250\documentclass[12pt]{minimal}
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\begin{document}$$\sqrt{s} =250$$\end{document} GeV and 4 ab-1\documentclass[12pt]{minimal}
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\begin{document}$$\hbox {ab}^{-1}$$\end{document} at s=500\documentclass[12pt]{minimal}
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\begin{document}$$\sqrt{s} =500$$\end{document} GeV, the combined precision on the branching fraction of H→μ+μ-\documentclass[12pt]{minimal}
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\begin{document}$$H \rightarrow \mu ^{+} \mu ^{-}$$\end{document} is estimated to be 17%. The impact of the transverse momentum resolution for this analysis is also studied.
