I gave some more thought, and I believe the mechanism should go like this:
R-S-H + H2O2
R-S-O-H + H
+ + OH
- (in this step, the electrons that bond sulfur to hydrogen will attack one of the oxigens of H2O2 (leaving a proton available to react), and the bond that links the two oxigens of the H2O2 will attack one of its oxigens, producing hydrogen peroxide. This will then lead to:
R-S-O-H + H
+ + OH
- R - S - OH + H2O (in this step, the extra electrons in the hydroxyde group will attack the free proton).
Are my thoughts correct?
Thanks