Since we’re now approaching the time when the preliminary results from December on the search for the Higgs particle at the Large Hadron Collider (LHC) will be presented in final form, possibly with small but important adjustments, and since there will be additional results based on the fall’s data in the next few weeks, it would be good to do a little review of where things stand and where they’re going. I won’t do this all in one post but let’s get started.
Of course there is a lot of material on this website already and I’ll point you to it. Perhaps my most concise and least technical discussion of the search for the Higgs appeared as a guest post on Cosmic Variance (thank you to Sean Carroll for the invitation.) In that post I emphasized that the LHC’s Higgs program has two phases (broadly speaking.) The first phase is to search for and either find or exclude the simplest possible form of Higgs particle, known as the Standard Model Higgs particle (or SM Higgs for short). This is a finite task, so at a certain point (presumably this year) this phase comes to an end. The second phase, which will take a better part of a decade, and (as I’ll describe over time) begins this year, depends on whether a particle that resembles an SM Higgs is discovered or not. To explain the basic logic, I presented a figure in the Cosmic Variance post, which I am reproducing here:

If you’ve been noticing how slowly the discovery of the Higgs takes place — first there are hints, and only months later can one know whether those hints are real or not — then it will not surprise you to learn that the line between Phase 1 and Phase 2 isn’t sharp. The scientists at the LHC experiments ATLAS and CMS will be doing both of them this year, because they can, and because they should.
- The search for the SM Higgs in 2011 was so successful that only a few possibilities remain (see Figure 2): a Higgs between about 115 and 128 GeV/c2 or above 600 GeV/c2 (though the latter is disfavored by precision measurements.)
- We’ve got clear-enough hints for a Higgs particle with a mass of about 125 GeV/c2 (where c is the speed of light and GeV is defined here) to take seriously the possibility that it’s been found.
- If it’s been found, it resembles (only roughly so far, but that’s perhaps because there’s not enough data yet) an SM Higgs particle.
- All that remains to be done in Phase 1 is to close the window between 115 and 127 GeV/c2 , to confirm or refute the hints around 125, and push up the limits at 600 up as far as they can go, perhaps 800 and beyond.

So we can start looking ahead to Phase 2 — indeed we must. In particular, if there is indeed a new particle with a mass of 125 GeV/c2 that resembles an SM Higgs, then (from Figure 1) we now have to verify whether it is or isn’t exactly what the Standard Model predicts. Any deviation whatsoever from the precise predictions of the Standard Model would be a historic, game-changing, and Nobel Prize-deserving discovery! So the stakes are very high.
Now, Figure 1 was actually a simplified version of the game plan for the Higgs search. A more complete version, which was too elaborate for the short and sweet Cosmic Variance article, is shown in Figure 3. I’ll go through this figure carefully (which itself isn’t entirely complete) over the coming days and weeks. But suffice it to say that 2012 will involve a lot of work on the three research programs located at the far right of the figure:
- Keep doing what we’ve been doing in the SM Higgs search (as described in the three articles here) but with more data. Specifically, if there is a new particle at 125 GeV/c2 we want to make sure that it is produced and that it decays as expected of an SM Higgs particle.
- Focus especially on production of the Higgs in the process (the second of five production processes described here) known as q q –> q q H, which involves the scattering of W and Z virtual particles (which aren’t really particles at all, but rather are more general disturbances in the W and Z fields.) This process is a very powerful test of whether any newly found particle is an SM Higgs particle or not.
- Look for something that shouldn’t be there if there is only an SM Higgs particle: exotic modes of production, or exotic decays, or a second Higgs particle. As I’ve not previously described the large class of searches required, I will write one or more articles about this soon.

As you can see from the figure, these very large research programs needs to be carried out whether or not the current hints of a Higgs turn out to be ephemeral. In other words, the experimenters can be working already on Phase 2 no matter what the outcome of Phase 1 turns out to be! Very convenient, of course… but it means we need to do some planning for Phase 2 now! [And not of all of the most urgent issues have been addressed yet, which is why I’ve been very busy… more on that later…]
