Two Americans Arrested for Terrifying Baby Monkey Punch in Reckless Promotional Stunt
(essential-japan.com)
I hate english headlines. I can almost never parse the meaning
No, you just hate illiterate people who write English headlines.
Should be,
Two Americans Arrested for Terrifying the Baby Monkey, "Punch," in Reckless Promotional Stunt
The addition of the two commas, the word "the" and quotes around the word "punch" are grammatically necessary and change the meaning of the sentence.