Estimate Relative Risk (RR) from Standardized Mean Difference [1]
Standardized Mean Difference (d)

Standard Error (SE) of d (optional; if provided, can estimate the confidence interval for RR)

Standard Error (SE)
Result RR
Confidence Interval (CI) Lower limit Upper limit

Formula
$$RR=e^{(0.91*d)}$$ $$CI: e^{(0.91*d - 1.78*SE)}, e^{(0.91*d + 1.78*SE)}$$

Notes:
The cited reference didn't specify the confidence level, a 95% confidence level may be assumed.

Reference:

[1] VanderWeele TJ, Ding P. Sensitivity Analysis in Observational Research: Introducing the E-Value. Ann Intern Med. 2017;167(4):268-274. doi:10.7326/M16-2607