Why has no one here ever tried searching "Jewish DNA"? It's actually quite fruitful as no one is more interested than the Jews in the topic, and more convincing than some pro-palestinian newspaper from the past. For instance, here's a quick read: https://www.thetorah.com/article/dna-and-the-origin-of-the-jews

I copied a relevant section for you.

Jews and Khazar Theory

A few years after the publication of Behar’s study, the molecular biologist Eran Elhaik argued quite differently, that the data actually supported the conclusion that Ashkenazic Jews came from the Caucasus Mountains. This seemed to confirm, he argued, what has come to be known as the Khazar theory,[6] that Ashkenazic Jews descend from a Turkic people known as the Khazars who inhabited the region between Europe and Asia and converted en masse to Judaism during the Middle Ages.

The theory goes back to the 19th century, but was made popular in the United States by Arthur Koestler in a 1976 book called The Thirteenth Tribe. It continues to have advocates to this day, including the Ku Klux Klan Leader David Duke, who only recently began to question the theory when he realized that its earlier advocates included communist Jews like Koestler. Historians, relying on textual sources, have exposed many weaknesses in the Khazar theory,[7] but with Elhaik’s research, it seemed to find a new scientific footing, the data suggesting that Ashkenazic Jews do not descend from Middle Eastern founders but from a Turkic population in the Russian steppe, as argued by the Khazar theory.

Where Was Khazaria? Behar’s Response

Behar and his associates seized on Elhaik’s analysis as a chance not just to defend their original analysis but to deepen their research.[8] Behar pointed to a methodological problem with Elhaik’s analysis: There are no more Khazars alive today, no known Khazar descendants, and no Khazar skeletal remains from which to draw DNA evidence. Hence, there is no way to draw a genetic connection between Ashkenazic Jews and a Khazar population.

To overcome this problem, Elhaik drew his samples from proxies— Armenians and Georgians from what he (erroneously) took to be the region of Khazaria—and it was on the basis of these samples that he found that 70 percent of European Jews and almost all Eastern European Jews cluster with these populations, and by extension their supposed Khazar ancestors.

Behar and his colleagues argued that the use of living Armenians and Georgians as genetic proxies for the Khazars was a mistake, as they hail from the southern part of the Caucasus whereas the Khazar kingdom was located farther to the north. They sought to correct for this problem by comparing a large collection of Jewish samples with the largest available genome-wide sample set of the various non-Jewish populations from the regions where Ashkenazic Jews may have originated, including people from Western Europe, the Middle East and individuals living in the (actual) Khazar region, north of where Elhaik took his sample.

Their approach led to a very different result, calling Elhaik’s conclusions into question by showing that Ashkenazic Jews share the greatest genetic ancestry not with people from the Caucasus but with those from Europe and the Middle East. Elhaik has recently published a study to expand on his views, now describing the supposed founding population of Ashkenazic Jews as a “Slavo-Iranian confederation,” but he has not overcome the findings of Behar or of historians like Shaul Stampfer who dismisses this research as “nonsense.”[9]