The main principle is that the pressure generated by compressing underwear helps to accelerate the blood flow to the heart and reduce the heart rate (some experiments show that it can be reduced by about 0.8bpm, source: landing page), just like a person soaking in a swimming pool, the pressure of water on the body will reduce the heart rate. Therefore, everything related to accelerating blood return to the heart has become the advertised benefits of compression clothing, such as improving the oxygen supply rate of blood to muscles, accelerating the decomposition of lactic acid, reducing swelling, accelerating recovery and so on. But the actual effect is not clear, mainly depending on personal subjective feelings.
In addition to compression, well-designed compression pants will be cut and fabric selected according to the leg structure to provide different levels of support and protection. For example, IT will use stronger elasticity to strengthen and stabilize vulnerable parts such as Achilles tendon, IT belt and quadriceps femoris, and the patella will be loosely cut, which is beneficial to the movement of knee joint during running.
To sum up, the benefits of wearing pressure pants may bring about the improvement of sports performance and play a icing on the cake.