Your council tax pays for local services - refuse collection, libraries, community education centres, street lighting etc. It has absolutely nothing to do with traffic noise on your street. As others have said, if it is bad enough to lower the value of your home then you may already pay less than others in the same sized properties in different locations. You can check the valuation rolls to see the banding for other properties in your area, but you only have 6 months to appeal from the date you started paying on that property at the current banding.