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The hazard ratio compares instantaneous event rates between groups. A value below 1 favours the treatment, and the confidence interval is built on the log scale because the ratio's sampling distribution is skewed.
Hazard ratio
HR = (events₁/time₁) / (events₂/time₂)
Confidence interval
exp(ln HR ± 1.96·√(1/e₁ + 1/e₂))
The rates are 0.06 and 0.1042, so HR ≈ 0.576 with a 95% interval of about 0.367 to 0.904.
Relative risk compares cumulative proportions; the hazard ratio compares instantaneous rates and accounts for time at risk.