Table 4.

Relative systematic uncertainties on the measured ratios of branching fractions $R_{D_s^{+}/{\mathit{\pi }}^{+}}$, $R_{D_s^{\ast +}/{\mathit{\pi }}^{+}}$, $R_{D_s^{\ast +}/D_s^{+}}$ and on the transverse polarisation fraction ${\mathrm{\Gamma }}_{\pm \pm }/\mathrm{\Gamma }$

Source	Uncertainty (%)
	$R_{D_s^{+}/{\mathit{\pi }}^{+}}$	$R_{D_s^{\ast +}/{\mathit{\pi }}^{+}}$	$R_{D_s^{\ast +}/D_s^{+}}$	${\mathrm{\Gamma }}_{\pm \pm }/\mathrm{\Gamma }$
Simulated $p_{\text{T}}(B_c^{+})$ spectrum	0.4	0.9	0.5	0.4
Simulated $|\mathit{\eta }(B_c^{+})|$ spectrum	1.9	2.4	0.6	0.2
Other $D_s^{+}$ decay modes contribution	0.4	0.4	–	–
Tracking efficiency	0.5	0.5	$<$0.1	$<$0.1
$B_c^{+}$ lifetime	1.2	1.3	$<$0.1	$<$0.1
$D_s^{+}$ lifetime	0.3	0.3	$<$0.1	$<$0.1
$B_c^{+}\to J/\mathit{\psi }{D}_s^{(\ast )+}$ signal extraction	4.4	10.5	10.7	17.4
$B_c^{+}\to J/\mathit{\psi }{\mathit{\pi }}^{+}$ signal extraction	8.5	8.5	–	–
$D_s^{\ast +}$ branching fractions	$<$0.1	$<$0.1	$<$0.1	1.1
MC sample sizes	2.3	2.4	2.7	2.2
Total	10.1	14.0	11.0	17.6
${\mathcal{B}}_{D_s^{+}\to \mathit{\varphi }(K^{+}{K}^{-}){\mathit{\pi }}^{+}}$	5.9	5.9	–	–