My partnership style is for advancer to bid fairly aggressively
after the double. That is, advancer would bid 2H with 8-10
fitting points. My experience is that when doubler has a light
double, the partnership will have 8 trump and should compete
to the 2-level. With 11+ and an unbid major responder should
show an invitational plus hand with a cue bid. The partnership
can still stop in a part score.
With four trump, doubler should raise 1M to a level one less
than doubler would raise a 1 over 1. Thus, the single raise of
1H should be about 18-19 dummy points, the single jump
should be around 20-22, and the double jump 23-24. I think
the cue bid should deny 4-card support unless intervenor's
hand is too huge for a direct raise
The jump in a new suit should show about a 5-loser hand
with a reliable suit.
Fred.