What do I wear in europe in winter (mid jan to mid feb)?

I'm planning on a backpacking trip to europe in january, to a few countries like Austria, Czech Republic, Italy, Germany and Switzerland. I know of cold weather because I live in russia (where weather gets as low as -25). But as much as I like to pack sweaters and thermal clothings, I am actually trying my best to travel light. Do you think I could travel around in Switzerland with sport shoes (with thick woolen socks to stay warm)?