deadfall
descend; become lower
Depending on the environment. if the branch has fallen in a dry environment it won't rot, but if the branch has fallen in a wet or damp environment e.g-rain forest the branch will rot.
If you are looking for the crossword puzzle answer, another name for fallen rock debris is scree.
Limb, or bough.
Enforcer
Congress
A tree branch is called a Bough.
limb, bough, scion
Branch or node.
Branch is one and bough is another.
Senate and house of representitives
The fallen part of a branch is known as a "bough." When a vine or plant twines itself around an object for support, it is considered "clinging."