Is is correct to say that, elementary particles have different masses, because they have different coupling strengths to Higgs field? And if yes. Does it make sense to question, why they have different coupling strengths?
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maybe this article will clear it https://www.thoughtco.com/what-is-the-higgs-field-2699354 – anna v Sep 29 '23 at 06:44
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1@annav That article says nothing about why different particles have different coupling strengths with the higgs field, which is the question. – joseph h Sep 29 '23 at 06:52
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3Yes, they do have different coupling strengths, and of course you can ask why. But why they do is not known at this point. – joseph h Sep 29 '23 at 07:05
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the answers here may help clear the concept of field versus particle (higgs boson is a paticle) https://physics.stackexchange.com/questions/182418/the-higgs-field-vs-the-higgs-boson and https://physics.stackexchange.com/questions/553912/how-is-the-higgs-field-excited-to-give-a-higgs-boson – anna v Sep 29 '23 at 07:48
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Nobody knows why the Yukawa couplings you mention are what they are. But the title of your question is extraordinary misleading, as these couplings have absolutely nothing to do with the Higgs mechanism (which, instead, absorbs SSB Godstone bosons into gauge fields, making the massive)... – Cosmas Zachos Sep 30 '23 at 18:14
1 Answers
It is correct to say that fermions acquire their mass via their coupling to the Higgs field so that when a VEV is acquired, it combines with the Yukawa coupling to form the coefficient of the one-particle-in-one-particle-out term.
The gauge bosons acquire their mass via the Higgs field in a different way, namely via the SSB of the Electroweak by the acquisition of a VEV, and the gauge invariance that "eats" the goldstone modes.
Both of these are poorly understood, that is we don't know why the Yukawa couplings are what they are, and we don't know a lot about the electroweak SSB. We don't understand the Higgs potential in the first place.
The Higgs mechanism is how the gauge bosons get their mass. Your question is indeed correct in the form that the Yukawa couplings determine the coefficients of the 1-in-1-out term, also known as mass, but this has nothing to do with the Higgs mechanism, in fact, the Higgs contribution to these couplings is the same for all couplings as per the VEV.

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