When a downstream firm merges with an upstream supplier that is really important to the downstream firm and its competitors, the merged firm can competitively hobble the downstream competitors. They can refuse to sell the upstream good to competitors, or raise the cost for competitors. Plus it may force the competitors (or potential new entrants) to vertically integrate themselves and enter both the downstream and upstream markets, which chills competition in the downstream market. The government also credits business justifications for the merger, and in the end they balance those with the potential harms to competition.
The article (I can't find the complaint) also says, and this is a typical vertical merger concern, that this will give Nvidia (the downstream firm) access to sensitive information of Nvidia's rivals that they had previously shared with Arm.
EDIT: There is also a general antitrust push in the Biden administration, notably in the appointments of Lina Khan and Tim Wu. Interesting to see its fruits.