There is a whole genre of these, starting with (as mentioned in the paper's introduction) "What is Life?" by Schrodinger. I've been idly working my way through a bunch of them, including Monod's "Chance and Necessity" (dated but excellent), Nick Lane's whole series of books (notably "The Vital Question"), Nurse's "What is Life?" (good if you want to learn about yeast), Zimmer's "Life's Edge" (haven't finished it yet,…
My personal stab at an objective defintion: There is a sudden emergence of many more pathways for decay of the universe through entropy. The mechanisms that accelerate the creation of these new pathways is the set that includes "life".
Now with that base definition, we can talk about various forms of life - ones that involve DNA for example. But also others that do not.