What minimum length must remain on a torn tzitzit string for the tzitzit to remain kosher?

Synopsis

When a tzitzit string tears, the question is how much must remain for the tzitzit to still be valid. The standard (Mechaber following the Rosh) requires enough remaining length to tie a loop (k'dei anivah) around all severed strings together.

Rishonim
Early Acharonim
Lenient
Strict
Lesser cited
Major authority

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