Can someone explain the basics of these Higgs graphs?

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The discussion centers on the Higgs boson discovery, specifically the significance of a 5-sigma event indicated by a spike around 125 GeV in a histogram of two-photon events. The combined mass of photons in these events is calculated using their 4-momenta, revealing a background of other processes that can produce similar photon pairs. The Higgs particle is expected to show an excess of events near its rest mass due to energy availability during collisions. Analysis of data from 2011 and 2012 confirmed the presence of this peak, attributed to around 300 Higgs events out of approximately 66,000 diphoton events. The findings underscore that the Higgs signal is real, supported by results from both Atlas and LHC experiments.
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The 5-sigma event that denotes the "discovery" of the Higgs refers to a spike around 125 GeV against some polynomial curve fit against the data?

and what is events / GeV - what are the other events at the various energy levels?
 
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That's a collection of two-photon events. It's not quite at 5 standard deviations above the background; it's more like 3, I think.

m(gamma-gamma) refers to the combined mass of the photons in a two-photon event. One adds up their 4-momenta and finds the combined mass value from their total. It's rather elementary kinematics in special relativity. Many two-photon events are produced by other processes, sometimes each photon separately. That's what makes the background.
 
This is the diphoton channel, so it looks at the cases where the Higgs decays into two photons. There are also other collision processes (I don't know which) that result in two photons. This is called the background and you can not tell from the photons what process produced them.

The plot is a histogram. For every photon pair you find, you determine their combined energy, that is on the horizontal axis. Then you count the events with an energy between 120 and 121 GeV, and you plot that number of events on the vertical axis at m=120.5GeV, giving you the events per 1 GeV.

The Higgs particle is most likely to be produced when the available energy is close to its rest mass, so you expect an excess of events around a certain energy, on top of the background.

They fitted a combination of a polynomial and a small peak to the data and this is the result. Of the total of around 66000 diphoton events in this graph they attribute around 300 to the Higgs.

This peak doesn't seem to be much, but it was there already in the 2011 data and it grew when combined with the 2012 data. It is also present in another channel, with the Higgs decaying into other particles. And it has been found by both experiments. The conclusion is that the signal from the Higgs is real, it has been found.
 
so the graph here is the result of sifting through a bunch of data obtained from colliding two beams of particles if the graph continued below 100 GeV you would also see spikes for W and Z bosons? There was nothing special about the "stuff" that was collided at Atlas and LHC, just the fact that the energy was sufficient to see events at these higher energy levels?
 
The W cannot decay into two photons (it is charged), and the decay Z \to \gamma \gamma could not be observed yet, but you could see peaks from decaying mesons at lower energy.
There was nothing special about the "stuff" that was collided at Atlas and LHC, just the fact that the energy was sufficient to see events at these higher energy levels?
The energy was sufficient to produce the new boson frequent enough to see it. And the detector was good enough to find those rare events.
 

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