With a mass of more than 120 times that of the proton, the Higgs boson is the second-heaviest particle known today. This large mass, combined with an extremely short lifetime (10-22 seconds) means that the particle cannot be found in Nature – its existence can only be verified by producing it in the lab.
The first particle collider in history capable of producing Higgs bosons in significant numbers is the Large Hadron Collider (LHC), which started its high-energy collision programme in 2010.
Needle in a haystack
Producing the new particle is only the first step, however. Given its lifetime, the Higgs boson almost immediately decays – or transforms – into other particles. So it is not possible to observe it directly. The particles from the boson’s decay are the only traces that it leaves behind. These traces have to be detected and precisely measured by particle detectors.
Once the decay products have been detected, the next step is to determine whether we can say that the Higgs boson was produced. The problem is that the particles that the Higgs decays into are the same kinds of particles that are copiously produced in particle collisions. Simply seeing a pair of photons (one of the final states from the Higgs boson decay) is hardly any indication that the Higgs boson exists and is being produced in the experiment. Especially since the Higgs boson is only produced about once in a billion of these collisions.
Scientists thus need some way of determining when a pair of photons (or four muons or a different final state that the Higgs decays into) is coming from a Higgs boson decay and when it’s not.
This needle-in-a-haystack problem can be solved, but not directly. In other words, it’s not possible to find the needle but it is possible to verify that the needle is in the haystack somewhere.
A roll of the dice
Specifically, it’s not possible to know in which collision the Higgs boson was produced, but the fact that it is being produced can be confidently established after analysing enough collisions. Here's how:
- When all of the decay products are detected and their properties measured, a quantity called invariant mass can be calculated from these measurements.
- This invariant mass is equal to the mass of the Higgs, but only for particles coming from the Higgs decay (or almost equal, taking into account the precision of the measurement in the particle detector).
- For particles coming from other sources, this mass is going to be different every time. In general, it will be a random number from a range of possible masses.
- This creates a unique mix of results: in the majority of cases the mass is a random number, but in some – very few – cases it is not random but instead a fixed, always the same, value. Imagine rolling the dice a large number of times, but with a small caveat: most rolls are normal, but every once in a while someone stealthily manipulates the die such that it shows a predefined number chosen by that someone. Three for example. If we do this many times, the fact that someone is interfering can be observed just based on the results. Normally we would expect all the six possible results of a dice roll to have the same probabilities, but in this situation one of them will have a probability slightly higher than the others.
The final element needed is statistical analysis of the results. Whether we think of invariant masses or dice rolls, the signal that we're looking for can be visualised by plotting a histogram of the results, on which the signal will appear as an excess, or “peak”, in one specific spot. To be able to tell that the peak is there, two conditions need to be satisfied: the peak needs to be big enough and the total number of results need to be big enough.
How much is enough? The answer is given by statistics: for a given excess in a given data sample it is possible to calculate the probability that an excess of this size would appear purely by chance.
The common agreement is that an excess is called a discovery when this probability is about 1 in three and a half million, which corresponds to an excess of five standard deviations above the expected value – the famous “five sigma”.
On 4 July 2012, the ATLAS and CMS collaborations reached this five sigma threshold - a new particle consistent with the long-sought Higgs boson had been discovered.