First off, I want to say how sorry I am you find yourself in this situation.
Sisters are precious, and it is so sad that you should even have to be worrying about something going on between your husband and sister.
So, getting past this, I would suggest you first find out if this could be true. You can do this by:
Monitoring cell phone records and calls. (Pay close attention to the calls made first in the morning and last at night.
Buy a digital voice activated recorder, and install it in your husband's vehicle. Before doing so, do a trial run on your own vehicle, seeing where the best reception would be.
Caution, make sure it is digital, (others make audible click sounds when shutting off) and you change batteries often.
Hire a Private Investigator.
Install a keylogger on your computer which will run undetectible. This will record passwords neeeded to gain access to websites and e-mail your husband might be using to have an affair.
One suggestion,
Don't mention your suspicions, or if you find evidence of such an affair, be sure you keep your sources to yourself. Once you reveal your sources of information, you will lose that source to continue your monitoring.
When you gather enough evidence, you tell your spouse in a matter of fact way that you know he is having an affair.
Remember, this is a statement. Not a question.
Most w/s will deny any form of affair if asked, even if they are caught in bed with the o/w.
You cannot trust the word of either your husband or sister.
You have come to the right place, stick around and you will get wonderful advice on how to proceed.
Sincerely,
K.D.'s Heartbreak