You can also use a wood burning tool with a flat tip. Fixture one end of the belt in a vise or clamp. Hold the other end in one hand and the wood burner in the other. Put one side of the flat tip on the end of the belt in the vise and touch the other end to the top of the wood burner. When both sides start to melt slip the burner from between them and hold the ends together until they cool. When cool use a nail clipper to dress the mushroomed joint.
We used this process for hundreds of joint repairs and belt replacements.
I had 1/4" green stuff and no easy heat source. Basic idea is the same as Projectnut's method: clamped 1/4" thick brass bar scrap in vise, cut urethane ends nice and flush bbutt joint, heated brass with torch until extra piece of urethane would melt on contact (sizzle is too hot), sandwiched end of brass between urethane ends then slid off and pressed together when melty. Hard part is judging when melty enough (friction on brass gives good indication), and sliding off together so ends join concentrically. If this method is your only option due to lack of tooling, buy some extra to practice technique. When you're happy with how the joint looks on a spare piece, give it a good tug to see how good it really is. If it holds, move on to the real deal