LONDON (AFP) - What next? After British MPs rejected Prime Minister Theresa May's Brexit deal on Tuesday (Jan 15), triggering a no-confidence vote in the government, that is the question on everyone's lips.

Here are the three main scenarios facing Britain while the clock ticks down to March 29 - the day it is scheduled to depart the European Union after 46 years:

1. TRY AGAIN

The British government and EU leaders say their agreement is the best compromise available, and despite her historic defeat, Mrs May said on Tuesday that it remained the only option.

Members of her Conservative party say the deal keeps Britain too close to the EU, while opposition parties say fails to protect economic ties with the bloc.

Both sides also hate a plan to keep open the Irish border, the so-called backstop, which could see Britain indefinitely follow European rules on trade.

Mrs May has already sought concessions on the backstop from EU leaders but they refused to alter the deal itself, and her critics were not convinced.

On Tuesday, she warned there was no "alternative deal" on offer from the EU but she said she was open to discussing ideas with MPs that were "genuinely negotiable" and could "explore them with the European Union".

Attorney-General Geoffrey Cox earlier told MPs that the Brexit deal "will have to return in much the same form and with much the same content".

There is nothing to stop the government bringing back the same deal again and again to the House of Commons until either MPs accept it, or seek to oust Mrs May, who faces a no-confidence vote on Wednesday called by the opposition Labour Party.

2. NO DEAL

This is billed as the doomsday scenario that threatens to trigger a recession in Britain and markedly slow the EU's economic growth.

It is the default option if the British Parliament votes against the deal and there are no other solutions before March 29.

Mrs May's agreement was meant to keep trade rules between the world's fifth-biggest economy and its largest export market almost unchanged for a transition period running to the end of 2020.

A sudden shift to different standards would impact almost every economic sector - and possibly see the costs of everyday products in Britain rise as well as create disruption at logistical hubs such as ports.

The government has conducted visible displays of its ramped-up no-deal preparations over the past few weeks.

There is growing speculation in London and Brussels that Mrs May could seek to delay Brexit to avoid a no-deal scenario.

3. SECOND REFERENDUM

EU supporters have been calling for another vote ever since the Leave campaign won by 52 to 48 per cent in the 2016 referendum, and demands have stepped up in recent months.

There is no law keeping Britain from doing it all over again, but many question whether this would be democratic.

It also threatens to be just as divisive, with opinion polls showing the country is still split over the issue.

Mrs May has warned that another vote "would do irreparable damage to the integrity of our politics".

The first step would be to extend Britain's departure date, although EU diplomats warn this would be only for a few months.