If Higgs-matter interaction is weak, can it be altered?

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jerich1000
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I have heard that the coupling between Higgs to matter is weak, that it is a correspondingly weak effect.

If this is true, is there any way that that effect can be made weaker or stronger? Or asked another way, what is it that sets the magnitude of the level of effect?

Thanks
 
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The higgs sector of the standard model have only one free parameter, which is the higgs mass. The coupling to matter is then determined by the masses of the different particles where a stronger coupling give a larger mass.