The Carnegie Endowment for International Peace has published an article, “After the Border Clash, Will China-India Competition Go Nuclear?” evaluating the possibility of nuclear war between India and China. It concludes there is low probability of the conflict turning nuclear.
China’s nuclear capabilities are far in advance of India’s. The conflict in the mountainous region of their border does not lend itself to nuclear warfare. Neither country sees the other’s nuclear capabilities as a significant factor in the current faceoff.
China perceives the likelihood of an India-Pakistan nuclear conflict as more likely, and as something that could draw in China on Pakistan’s side. Even that possibility, however, seems remote.
So, the Carnegie Endowment’s conclusion as to whether the conflict might go nuclear seems to be no.