Q. If someone touched his hair on his head or pulls or tears some hair from his head or beard, does he have to wash hands three times?
A. Shulchan Aruch (O.H . 4: 21) rules that someone scratching his head should wash hands. Poskim write that just touching one’s hair on the head, even on places that are usually covered, (As when one puts on the Tefilin Shel Rosh) does not require the washing hands three times.
Cutting one’s hair requires ‘Netilas Yodaim” (ibid. 19). However, just pulling a hair does not.
Poskim write that shaving or trimming one’s beard or peyos does not require washing hands three times. (Ohr Letzion 2: 44: 5, Halichos Shlomo 2: 10).
Horav Shlomo Miller’s Shlit’a opinion is similar.
Rabbi A. Bartfeld as advised by Horav Shlomo Miller and Horav Aharon Miller Shlit’a