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When we talk about control structures in programming, we're referring to constructs that allow us to dictate the flow of a program's execution. Think of it as the traffic lights and signs that guide the computational process along the various routes defined by your code.

In the context of loops, the control structure becomes critical as it dictates not only the start and end of the repetitive actions, but also how these actions are to be iterated. It could be a simple counter-controlled loop like a 'for' loop, where you know in advance how many times you want to repeat the body. Or, it might be conditionally controlled like a 'while' or 'do-while' loop, which execute the body as long as the condition evaluates to true.

It's about making decisions. If we need to execute a block of code several times, the loop's control structure allows us to do so without writing redundant code – that's efficient and clean programming.

The loop body can be thought of as the workplace where all the action takes place. It's the central part of any loop – the sequence of statements or a block of code that is meant to be executed multiple times.

For example, in a 'for' loop that prints numbers from 1 to 10, the loop body would include the code that actually carries out the printing. It’s important to craft the body of the loop carefully. Errors in the loop body can lead to incorrect outputs or even a never-ending loop, which is a common programming issue known as an 'infinite loop'.

When constructing the loop body, always remember to:

• Keep the code as simple and clear as possible.
• Ensure there is a clear and reachable end point to break out of the loop.
• Update the variables involved in loop conditions to prevent infinite loops.

Repeated execution, in the realm of computer programming, refers to the process whereby a loop performs the same set of instructions over and over again. This repetition is the heart of what makes a loop.

The power of repeated execution lies in its ability to transform complex, time-consuming tasks into efficient processes. Whether you're tallying scores, sorting data, or performing calculations, loops make it straightforward. However, with great power comes the need for careful control – this is why every loop has a condition set to ensure the repetition is not endless.

To maximize efficiency and safety with loops, here are some tips:

• Make sure the loop's termination condition will eventually be met.
• Avoid off-by-one errors by verifying the initial and terminal conditions of the loop.
• Consider potential edge cases that might cause unexpected behavior in your loop's execution.