The prospects for measuring the branching fraction of \(H \rightarrow \mu ^{+} \mu ^{-}\) 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 (\(\sqrt{s}\)) of 250 GeV and 500 GeV with two different beam polarisation configurations of \({\mathcal {P}} (e^{-}, e^{+}) = (-\,80{\%}, +\,30{\%})\) and \((+\,80{\%}, -\,30{\%})\). For both \(\sqrt{s}\) cases, the two final states \(e^{+} e^{-} \rightarrow q\overline{q}H\) and \(e^{+} e^{-} \rightarrow \nu \overline{\nu }H\) have been analyzed. For integrated luminosities of 2 \(\hbox {ab}^{-1}\) at \(\sqrt{s} =250\) GeV and 4 \(\hbox {ab}^{-1}\) at \(\sqrt{s} =500\) GeV, the combined precision on the branching fraction of \(H \rightarrow \mu ^{+} \mu ^{-}\) is estimated to be 17%. The impact of the transverse momentum resolution for this analysis is also studied.

在国际线性对撞机（ILC）上基于国际大型探测器的完整探测器仿真评估了测量\（H \ rightarrow \ mu ^ {+} \ mu ^ {-} \）的分支分数的前景。ILD）概念，并考虑250 GeV和500 GeV的质心能量（\（\ sqrt {s} \））以及\（{\ mathcal {P}}（e ^ {-} ，e ^ {+}）=（-\，80 {\％}，+ \，30 {\％}）\）和\（（+ \，80 {\％}，-\，30 {\％} ）\）。对于两种\（\ sqrt {s} \）情况，两个最终状态\（e ^ {+} e ^ {-} \ rightarrow q \ overline {q} H \）和\（e ^ {+} e ^ {-} \ rightarrow \ nu \ overline {\ nu} H \）已被分析。对于2的综合亮度\（\ hbox中{AB} ^ { - 1} \）在\（\ SQRT {S} = 250 \）电子伏特和4 \（\ hbox中{AB} ^ { - 1} \）在\（\ SQRT {S } = 500 \） GeV，\（H \ rightarrow \ mu ^ {+} \ mu ^ {-} \）的分支分数的组合精度估计为17％。还研究了横向动量分辨率对该分析的影响。