To connect mono to braided lines, loop to loop connection is a sure thing if you use hollow braided lines.
When using solid braided lines, many knots like Albright, Alberto or Uni to Uni knot are used. However their break at around 60 percent of their line rating. I haven't had any problem using those knots for light lines, but I have had failure from all those knots when I used 80 lbs and heavier lines for tuna.
Many serious jig fishermen use Mid Knot or PR knot throughout the world. PR knot is a kind of extension of Mid Knot and it requires special bobbin (weighted and tensioned). the strength of the knots are close to 100 percent. I recommend every jig fisherman should learn how to make Mid Knot or PR knot. You can use regular bobbin modified to make PR knot, but Shout Bobbin is regarded as the best though it is expensive ($180).
Here is video to make PR Knot using Shout Bobbin.