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Apr 13, 2023 at 19:23 vote accept IGY
Apr 13, 2023 at 13:49 comment added AXensen Yeah, I see your point - if we're talking about a process where a low energy photon scatters off a higgs, it may be that lower mass particles going around the loop are leading order because the propogators are small unless $p^2\sim m^2$. But such a process would be extremely uncommon - either suppressed by propogators or by vertices, and in some cases hard to define since the photon frequency might be smaller than the lifetime of the higgs.
Apr 13, 2023 at 13:43 comment added FlatterMann @AXensen The coupling to the Higgs is stronger, of course, but is the probability of a quark/antiquark pair not much lower than for a less massive electron/positron pair? I am not talking about the high but the low energy limit. Intuitively I don't think this leads to a photon mass, either, but I have never seen a theoretical argument (which is a function of me not reading QFT textbooks, of course).
Apr 13, 2023 at 13:35 comment added AXensen the coupling to the top quark from the higgs is indeed much, much higher than the coupling to the electron from the higgs (also the reason the top quark has higher mass). This is the correct leading order diagram for diphoton production from higgs decay - and the photons arent low energy-they carry away the energy of the higgs! As for whether this can be interpreted as a photon mass (considering an effective field theory where the top loop is replaced with an effective vertex)I'm not sure, but I don't think so. I think this vertex rule has dimension -3, and thus is not the same as a mass term.
Apr 13, 2023 at 13:29 answer added AXensen timeline score: 4
Apr 13, 2023 at 13:28 comment added FlatterMann Interesting. Works just as well, of course... but it's much more messy and a much higher energy term, so it's probably not leading order for low energy photons, is it? Are you trying to estimate an effective photon mass? Does the mechanism create an effective photon mass?
Apr 13, 2023 at 13:22 comment added IGY @FlatterMann I just saw this example with quark on my lecture note.
Apr 13, 2023 at 13:13 comment added FlatterMann Why use a quark and not an electron positron pair?
Apr 13, 2023 at 13:11 history edited Qmechanic CC BY-SA 4.0
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Apr 13, 2023 at 13:07 history asked IGY CC BY-SA 4.0