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This is incorrect. Gluons self-interact.
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Thank you all for voting. In the SM, the Higgs boson is indeed the only particle that interacts with itself. The 8 gluons interact with each other not with themselves. Diagrams with “A in, A out” don’t contain self-interaction vertices, AAA. H(125) is a mystery to be cracked. twitter.com/DrAndreDavid/s…
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Gluons interact with each other. There’s eight of them and none that has given quantum numbers interacts with itself. I understand that we draw gluons and ignore the color exchanged at the vertex and that we write W and imply the two electric charges. But that’s shorthand.
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This is a bad question because polarization is a property of on-shell states. At least one Higgs propagator is never on-shell for the 3- and 4-point vertices. That said, W^+(lambda=+) + W^+(lambda=+) > W^+(lambda=+) + W^+(lambda=+) is indeed a meaningful physical process 🤠
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