They appear "when the nature of the nucleus of an atom has been changed", physicist David Lhuillier of France's Atomic Energy Commission told AFP.
That could happen when they come together in the furious fusion in the heart of stars like our Sun, or are broken apart in nuclear reactors, he said.
There are three confirmed flavours of neutrino: electron, muon and tau.
However physicists suspect there could be a fourth neutrino, dubbed "sterile" because it does not interact with ordinary matter at all.
In theory, it would only answer to gravity and not the fundamental force of weak interactions, which still hold sway over the other neutrinos.
The sterile neutrino has a place ready for it in theoretical physics, "but there has not yet been a clear demonstration that is exists," he added.
Dark matter candidate
So Lhuillier and the rest of the STEREO collaboration, which brings together French and German scientists, set out to find it.
Previous nuclear reactor measurements had found fewer neutrinos than the amount expected by theoretical models, a phenomenon dubbed the "reactor antineutrino anomaly".
It was suggested that the missing neutrinos had changed into the sterile kind, offering a rare chance to prove their existence.
To find out, the STEREO collaboration installed a dedicated detector a few metres away from a nuclear reactor used for research at the Laue-Langevin institute in Grenoble, France.
After four years of observing more than 100,000 neutrinos and two years analysing the data, the verdict was published in the journal Nature on Wednesday.
The anomaly "cannot be explained by sterile neutrinos," Lhuillier said.
But that "does not mean there are none in the universe", he added.