hair loss from a facial cleanser?

i purchased the neutrogena deep clean gentle scrub for my face, and the first 2 or 3 times i used it, i loved it. one morning (1 day after i bought it), i accidentally got some of it on my scalp - right along my hairline on the right side of my head. later on in the afternoon after i got a shower, i was straightening my hair. i found that the area where i got some of the cleasner, hardly had any hair. i looked closer and saw that the hairs that were there were very short - about 1/2 inch long. the product contains beta hydroxy. has anyone experienced this problem or knows what could have caused my hair to get so short?