One study compared hiking poles of three different weights. and found that muscle activity (electromyography) of the biceps brachii and anterior deltoid increased with increasing pole weight. The anterior deltoid assists in flexion of the shoulder (brining your upper arm from your side to in front of you horizontally) and also is needed to resist gravity and the weight of your arm. With a hiking pole with increasing weight, this muscle should increase in activation. The biceps brachii (or just your biceps) work to flex your elbow, and again will be increasingly activated as more load is placed on the hand as your arm is out in front of you.
Lightweight Leki Poles are nice, but is it worth it?