tmux detach is a handy tmux command that will quit your current session while keeping it running. The full name of the comamnd is detach-client, detach is a shorthand.

default keybinding

bind-key          d detach-client

I have mine bound to mod+d where mod is alt.

bind -n M-d detach-client

for more information on how I navigate tmux, check out this full post

Also check out the full YouTube tmux-playlist to see all of the videos in this series.