One suspect is the Salafists, religious extremists who despise the Ennahda Party but absolutely hate militant secularists like Belaid. Many in the secular camp criticise Ennahda's founder and leader, Rachid Ghannouchi, for failing to "crack down" when Salafist fanatics attack peaceful political gatherings. But that's still a long way from plotting a murder.
Ghannouchi, like the leaders of other moderate Islamic parties across the Arab world, is reluctant to treat the Salafists as enemies because they both compete for the votes of pious Muslims. But he also argues that mass arrests and torture of Salafists in the style of the old regime is immoral and counter-productive.
Did the Salafists commit this particular crime? Possibly. Killing a militant secularist would be emotionally satisfying to them. But they are not actually the leading suspect in Shokri Belaid's murder.
The prime suspect is the old ruling elite, people who served the former dictator and have been deprived of power and opportunities for graft since the revolution. They can only regain their privileges if democracy fails, so violence in the streets, extreme political polarisation, the discrediting of an elected government, and a military take-over are precisely what they need.
The Constitutional Democratic Rally, the party whose members loyally served the dictator and were lavishly rewarded by him, was banned after the revolution, and some of its senior members are in jail or in exile. But there are still plenty of others around, and it would be astonishing if they were not plotting a comeback. The only viable route to that goal is to stimulate a civil war between the secular democrats and the Islamic democrats.
If this is where the logic takes us, why are some of the secular parties taking to the streets? In some cases, no doubt, grief and rage have led them astray. In other cases, however, there is probably the cynical calculation that this is the most effective way to hurt the Islamic party, even if it had nothing to do with the murder.
Ennahda's response has been less than coherent. Prime Minister Hamadi Jebali, shocked by the news of the murder, offered to replace the government with a cabinet of technocrats and call early elections, but the party's founder and leader, Rachid Ghannoushi, said that the government should stay in place and track down the murderers.
Jebali is sticking to his guns, and the outcome is far from clear. The whole thing is a mess, and Tunisians are justifiably concerned that their revolution has lost its way. But there is quite a good chance that they will be able to get the process of building a law-abiding democracy back on track without a major disaster, and it's certainly far too soon to say that their revolution was a mistake.
Gwynne Dyer's articles are published in 45 countries