[HN Gopher] How light is a neutrino? The answer is closer than ever
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       How light is a neutrino? The answer is closer than ever
        
       Author : _Microft
       Score  : 29 points
       Date   : 2022-02-15 20:47 UTC (2 hours ago)
        
 (HTM) web link (www.nature.com)
 (TXT) w3m dump (www.nature.com)
        
       | gus_massa wrote:
       | > _These data imply an upper bound of 0.9 eV, which goes down to
       | 0.8 eV when combined with the earlier results._
       | 
       | For comparison, the mass of an electron is approximately
       | 510,998.950 eV and the mass of a proton is 938,272,088. eV.
        
         | Koshkin wrote:
         | Too many digits... TL;DR: .5 MeV and .9 GeV, respectively.
        
           | gus_massa wrote:
           | I prefer to use the same unit for all numbers because it
           | makes the comparison easier. The bound of mass of the
           | neutrino is really low. Using M and G hides it.
           | 
           | I was going to write:
           | 
           | > _For comparison, the mass of an electron is approximately
           | 500,000 eV and the mass of a proton is 900,000,000 eV._
           | 
           | But all the numbers I wrote are measured experimentally. Both
           | values have a lot of experimentally measured digits! I only
           | removed the part that overlaps with the uncertainty, because
           | the notation with parenthesis is somewhat confusing.
        
             | _Microft wrote:
             | 511 keV and 938 MeV would have been _much_ clearer than a
             | distinction via comma /point like in 510,998 -> . <- 950 eV
             | and 938,272 -> , <- 088 eV.
        
               | gus_massa wrote:
               | I agree that the coma/point distinction is confusing.
               | Also, I'd like to cut all the numbers in the same digit,
               | but the next digit of the proton is too dubious.
               | 
               | What about this version:
               | 
               | > _[an upper bound of 0.9 eV] For comparison, the mass of
               | an electron is approximately 510998.9 eV and the mass of
               | a proton is 938272088.0 eV._
        
             | codeflo wrote:
             | In contrast to some sibling comments, I think using the
             | same unit is a great idea. It's just that long numbers with
             | commas are a bit hard to read. At least I think 511 keV and
             | 938 000 keV would have been another clear way to present
             | those numbers.
        
             | fknorangesite wrote:
             | > I prefer to use the same unit for all numbers because it
             | makes the comparison easier.
             | 
             | Thank you; this is a style guideline I wish more writers
             | would adopt.
        
           | throwhauser wrote:
           | Writing out the digits gives a more visceral impression of
           | the difference in weight, from roughly one, to a six-digit
           | number, to a nine-digit number.
        
           | pdonis wrote:
           | That's what the GP wrote. Their electron value has a decimal
           | point before the last three digits. The GP values are
           | approximately 510 keV and 938 MeV.
        
       | SaberTail wrote:
       | With the caveat that I'm a few years out from my PhD in the
       | field, this is both really interesting and also maybe not
       | surprising.
       | 
       | This is the best attempt to date to directly measure the mass of
       | the electron (anti)neutrino. When a nucleus beta decays, it emits
       | an electron and an antineutrino. If the neutrino were massless,
       | the electron could carry away the entire energy of the decay.
       | What they've tried to observe here is the highest energy
       | electrons, to see if they can see the effect of some of that
       | energy going to the neutrino mass. It's an amazingly difficult
       | measurement, since only a very small fraction of those electrons
       | have the highest energies.
       | 
       | Measuring the neutrino mass this way would be relatively
       | unambiguous, which is why it's exciting to see progress.
       | 
       | That said, there have been other experiments that have put
       | stronger constraints on neutrino masses, but only for certain
       | models. Double beta decay experiments look for decays in which
       | the two neutrinos annihilate each other, allowing the full energy
       | to be emitted by the electrons. However, this requires the
       | neutrino to be its own antiparticle. This is allowed, because
       | neutrinos are neutrally charged, and wed call such a particle a
       | Majorana particle. The rate of these neutrinoless double beta
       | decays would tell about the neutrino masses, but only if
       | neutrinos are Majorana particles. The exact measurement would
       | also depend on how well we understand the energy levels of the
       | nuclei involved. So far, the upper limits for neutrino masses
       | from these experiments are on the order of 0.1 eV.
       | 
       | And there are cosmological constraints on the neutrino mass from
       | experiments that look at the cosmic microwave background. Early
       | in the universe's history (like the first second), the mass of
       | neutrinos would have influenced how much matter clumped up due to
       | gravity, which would lead to fluctuations in the microwave
       | background. Modeling this requires us to understand particle
       | physics very well at those early high energies, so there's some
       | uncertainty due to modeling. But again, the limits from these
       | observations are on the order of 0.1 eV.
       | 
       | So we now have one direct observation that's consistent with
       | other, model-dependent observations. The most interesting
       | scenario would be that KATRIN actually observes neutrino mass as
       | it gets more data, implying that our models might be wrong. But
       | even if the experiment doesn't, it's still great to have the
       | extra constraints.
        
       | treeman79 wrote:
       | https://what-if.xkcd.com/73/
       | 
       | Death by Neutrino
        
         | dgb23 wrote:
         | That's a very cool book and a nice gift idea.
        
           | [deleted]
        
       | 6gvONxR4sf7o wrote:
       | > The data still do not rule out the possibility that the mass is
       | zero, says KATRIN member Magnus Schlosser, a particle physicist
       | at the Karlsruhe Institute of Technology. But other lines of
       | evidence, in particular from cosmological observations, show that
       | the neutrino cannot be massless.
       | 
       | I would love if neutrinos were massless, just because it would be
       | so _interesting._ The only way they would interact with gravity
       | would be through the shape of spacetime itself, which for some
       | reason is a fascinating to me.
        
         | pdonis wrote:
         | _> The only way they would interact with gravity would be
         | through the shape of spacetime itself_
         | 
         | I'm not sure what you mean by this. In General Relativity,
         | gravity _is_ "the shape of spacetime", so _any_ gravitational
         | interaction involves the shape of spacetime.
        
         | not2b wrote:
         | The reason we know that neutrinos aren't massless is that they
         | oscillate between neutrino types. A massless particle must
         | always travel at c, so it doesn't experience time, so it can't
         | decay or change into another particle.
        
           | kmm wrote:
           | Only two of the three neutrinos need to be massless, though
           | that would be quite a curious asymmetry, and everyone expects
           | all three to have mass.
           | 
           | A massless particle might not have a restframe or experience
           | proper time, but it still propagates through spacetime, and
           | can definitely decay to other massless particles, at least in
           | theory. After all, moving at the speed of light doesn't
           | preclude it from interacting with ordinary matter either.
           | "Luckily", in our universe there are theoretical reasons for
           | photons to be completely stable (e.g. see
           | https://arxiv.org/abs/hep-th/9508018 ), but there's no such
           | general rule.
        
           | pdonis wrote:
           | _> A massless particle must always travel at c, so it doesn
           | 't experience time, so it can't decay or change into another
           | particle._
           | 
           | This is not correct, although it's a common pop science
           | misconception. For example, photons are massless, but they
           | can undergo interactions that, for example, produce particle-
           | antiparticle pairs. If your statement here were true, photons
           | would be unable to undergo any interaction at all.
           | 
           | A correct statement would be, heuristically, that if all
           | three neutrino flavors were massless, they would all have the
           | same mass, namely zero, so they would all oscillate exactly
           | the same way, so any neutrino state that started out as one
           | particular mixture of flavors would stay the same mixture
           | forever. For example, neutrinos that were produced in an
           | interaction like those in the Sun, which only produces
           | electron neutrinos, would stay electron neutrinos forever.
           | But this would also be true if the different neutrino flavors
           | all had nonzero mass, but all the _same_ nonzero mass. The
           | only way for the mixture of neutrino flavors to change as the
           | neutrinos travel is for the different flavors to have
           | _different_ masses. One of those masses could in principle be
           | zero, but only one, not all three.
        
         | SaberTail wrote:
         | Based on what we've observed, and our current standard model of
         | particle physics, only one type of neutrino can be massless.
         | We've observed neutrinos oscillating flavors (for example, an
         | electron neutrino later interacting as a muon neutrino), and
         | the rate of those oscillations suggest nonzero mass differences
         | between the three different types. So even if one of them is
         | zero, the other two cannot be.
        
           | dilippkumar wrote:
           | Not a physicist, but I have questions.
           | 
           | > Based on what we've observed, and our current standard
           | model of particle physics, only one type of neutrino can be
           | massless.
           | 
           | Is the standard model complete to the point where we can
           | predict how many types of neutrinos exist and what their
           | properties should be?
           | 
           | I always thought that the standard model as a set of
           | equations (a model) that fits observed data, without
           | venturing far into "why this model is the governing principle
           | for our universe". That is, it is not able to explain things
           | like "why an electron comes with two heavier varieties".
           | 
           | Are neutrinos somehow different in a way that we can
           | understand them to the point where we know things like "only
           | one type of neutrino can be massless"?
        
             | SaberTail wrote:
             | The LEP experiment at CERN (the LHC now inhabits the same
             | tunnels) collided a lot of electrons and positrons to
             | create a lot of Z bosons. The standard model describes
             | these interactions really precisely. And we can observe how
             | often the Z boson decays "invisibly" to particles we can't
             | detect. The rate it does so tells us there are three
             | neutrinos with masses less than the Z boson. So that's
             | established. Could there be more, heavier ones? Possibly.
             | 
             | We observe neutrino oscillations through a variety of
             | channels. We first observed fewer (electron) neutrinos from
             | the sun than expected, suggesting they were oscillating to
             | other flavors. And this has been further observed in
             | neutrinos produced in the atmosphere by cosmic rays,
             | neutrinos produced by decays of particles in beams, and
             | neutrinos from nuclear reactors.
             | 
             | The best explanation, and the one that fits the standard
             | model, is that the pure "flavor" (electron, mu, tau)
             | neutrino states are mixtures of pure "mass" states. And
             | from those different channels, which look at different
             | energies and flavors of neutrinos, we can work out what
             | those mixtures are.
             | 
             | When you go through all the math, it turns out the
             | oscillations depend on the differences of the squares of
             | the masses of the pure mass states. And we observe
             | oscillations that tell us that two of these differences are
             | nonzero. That is, if there are mass states 1, 2, and 3,
             | then we know that (mass 1)^2 - (mass 2)^2 is nonzero, and
             | (mass 3)^2 - (mass 2)^2 is also nonzero. So this implies
             | that at least two of them must have nonzero masses.
        
             | whatshisface wrote:
             | Adding new particles would change existing particles,
             | unless the new particles were very particularly set up so
             | that they either explained why the existing particles were
             | they way they were (more common) or didn't change them
             | (less common).
             | 
             | That's because every quantum field is coupled with every
             | other field, all the time, and everywhere.
        
             | ephimetheus wrote:
             | The oscillation mechanism that we've come up with (and that
             | fits data from reactor experiments to astronomical ones
             | pretty well) only works if the mass eigen states of the
             | neutrinos are different from their flavor eigen states,
             | otherwise there is no mixing.
             | 
             | We can measure the mass differences between the neutrinos
             | pretty well through these oscillation experiments, but this
             | also doesn't tell us which the mass hierarchy. It could be
             | bottom up or the other way round.
             | 
             | In principle, one neutrino could be massless and the mass
             | differences we've measured so far would still be correct.
             | 
             | Aside from this, pretty much anything is on the table.
             | Neutrinos being their own anti particles? Maybe. Fourth
             | generation of neutrinos? Could be.
        
         | whatshisface wrote:
         | > _The only way they would interact with gravity would be
         | through the shape of spacetime itself, which for some reason is
         | a fascinating to me._
         | 
         | Photons are massless particles, but alas, they still gravitate
         | because it's mass-energy that gravitates, not rest mass.
        
           | 6gvONxR4sf7o wrote:
           | > it's mass-energy that gravitates, not rest mass.
           | 
           | TIL! That's a very fun fact. I never learned that, and I have
           | a physics undergrad! Or I forgot it, which is just as likely
           | this far out.
        
           | Koshkin wrote:
           | So... Just like the neutrinos?
        
             | whatshisface wrote:
             | Neutrinos aren't massless, but quite like the neutrinos
             | because they're light. Err, unheavy.
        
       | _Microft wrote:
       | You can read more about the experiment here:
       | 
       | https://www.katrin.kit.edu/68.php
       | 
       | https://en.wikipedia.org/wiki/KATRIN (the German WP entry is
       | better though if you don't mind using an online translator)
        
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