Where does that connection come from between the two?
I ask rhetorically as I know the answer myself. Many would answer correctly that it is rooted in pagan ritual in celebration of the winter solstice.
The winter solstice (the shortest day in the northern hemisphere) however occurs on December 22nd. Once it reaches this point at which it will go no lower the suns arc is still for two days and does not move a single degree. Still on the 23rd, still on the 24th, and then begins to rise on December 25th again back towards the arc that will culminate in the summer solstice.
The symbolic shorthand for this would be the Sun dies and upon the 3rd day the Sun is resurrected back to life. Does that sound vaguely familiar?