The Dalai Lama has always been under threat from Chinese crazies, as well as from your garden variety loose nuts.
In a documentary of a year or so back, these were several shots of the DL being flanked by 4 to 6 big guys in his entourage wearing suits and ties, all with those small Uzi machine pistols (or equivalent) tucked under their jackets. They looked like serious characters.
The Dalai Lama has more than 2 layers of protection.Starting with specially trained Tibetan guards,local Indian police as well as Indian central Intelligence agencies.
& probably these folks too
http://en.wikipedia.org/wiki/Special_Frontier_Force
But without the vest.....