And while it's true that a small migration can leave a larger genetic footprint on a small population, a relatively small group of military conquerers can leave a fairly large genetic footprint. A team of geneticists claim that 1 in 12 men in Asia carry a Y chromosome mutation that originated in Mongolia 1,000 years ago, the legacy of Genghis Khan's conquests.
They manned up to the task.
That still doesn't mean they end up with a greater than 5% presence in Eastern European backgrounds.
They more than likely simply fit within the existing percentage of East Asian origins ~ which was 5%, and beyond that, indetectable at today's stage of genetic analysis.