Sabine Hossenfelder basically posted a rant about particle physicists on Youtube last week, about how they are doing science wrong. Basically she said you are supposed to change your theory based upon results that don't match the theory, and what they have been doing for decades is looking at gaps in the results, and imagining particle theories that don't alter the expected results in the currently explored energy le…
Feynman mentions a similar point in QED when he talks about the "science" of proton decay. The proton hasn't had the courtesy to actually decay in an experiment, so all they do is keep publishing increasingly high lower bounds on the proton's half-life. It's fascinating that someone can make a career out of a phenomenon not being observed.
Establishing a solid negative result that rules out hypotheses is worthwhile if unglamorous.
Citing an upper bound on the half-life is all that can be credibly reported. It's how you put an error bar on something that's non-negative but consistent with zero.