I am an International student, I applied to universities in US for PhD in High Energy Physics (theory). I just realized that I have made a couple of typos in my statement of purpose/writing sample. To be more specific, I repeated a word (like "year year" instead of "year") in two places. Due to anxiety of waiting to hear from universities, I am worried about all the factors that come into play. How much of a negative impact will this have on my application ?
P.S. - I have done graduate level courses in quantum field theory and quantum electrodynamics. I have one publication in JHEP and decent GRE scores.