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$\begingroup$ Thank you for a clear answer. Can you explain the last comments that you mentioned as a sequel question? Do you refer to technicolor model? $\endgroup$– LibertyCommented Sep 30, 2017 at 1:27
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$\begingroup$ Yes, indeed... . $\endgroup$– Cosmas ZachosCommented Sep 30, 2017 at 2:46
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$\begingroup$ I guess it depends on what we mean by "eaten". We say the three Higgs Goldstones are eaten, because we could redefine the SU(2) scaler field and set those Goldstones to zero, and the two Ws and Z become massive. In the case of pions, although they couple to Ws and Z, I don't see how to set the pions to zero and to make Ws or Z massive at the same time. $\endgroup$– Petra AxolotlCommented Nov 13, 2022 at 17:41
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$\begingroup$ You may mix pions and Higgs goldstons, as described, and gauge-absorb one linear combination, while leaving the other one as a propagating physical field. "Eating", in this sense, is a narrowly and strictly defined operation, not a fantasy procedure, as you might be misconstruing it as... $\endgroup$– Cosmas ZachosCommented Nov 13, 2022 at 18:45
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$\begingroup$ ... so a propagating pion which is less than 0.05% higgs is not a big deal: do the calculation! $\endgroup$– Cosmas ZachosCommented Nov 13, 2022 at 20:34
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