Is a Higgs Force the Key to Understanding a 5th Fundamental Force?

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Discussion Overview

The discussion centers on the nature of the Higgs boson and its implications for the existence of a potential fifth fundamental force. Participants explore the role of the Higgs boson in particle interactions, particularly in relation to mass generation and the concept of force in quantum field theory.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that since the Higgs boson is a boson, it could imply the existence of a new fifth force.
  • Others argue that the Higgs boson does not carry any force but interacts with particles through the electroweak interaction, primarily providing mass.
  • A participant questions the definition of "force" in the context of quantum field theory, suggesting that a force can be defined by the interaction leading to scattering events between particles.
  • Another participant mentions that the Higgs induces a Yukawa-type interaction between fermions, which could be termed a "force," but emphasizes its short-range and weak nature.
  • There is a discussion on whether the term "force" is appropriate for the weak interaction, with some suggesting that it is more accurate to refer to it as an "interaction."

Areas of Agreement / Disagreement

Participants express differing views on whether the Higgs boson can be associated with a new force. There is no consensus on the definition of "force" or the implications of the Higgs boson's role in particle interactions.

Contextual Notes

The discussion reveals limitations in the definitions of force and interaction, as well as the dependence on specific theoretical frameworks in quantum field theory. The implications of the Higgs boson's interactions remain unresolved.

2sin54
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Since Higgs boson is a boson and they are said to be the force carriers, wouldn't that imply that there's a new, 5th force?
 
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Higgs boson doesn't carry any force. It is a particle interacting with other particles via electroweak interaction. It's job is to give other's particles mass thanks to this interaction.
 
Einj said:
Higgs boson doesn't carry any force. It is a particle interacting with other particles via electroweak interaction. It's job is to give other's particles mass thanks to this interaction.

Thank you. I guess i need to get it out of my head that bosons are only force carriers.
 
What do you mean by "force" exactly?

In the context of quantum field theory, especially scattering theory, one definition could be that a "force" causes particles in incoming states to interact such that there is a non-vanishing cross section (a matrix element) to find different particles (or the same particles but with different momentum vectors) in the outgoing states |X>. The in-state |A,B> with two particles A,B will not only result in the same out-state |A,B> but will in addition scatter (with some scattering cross section i.e. probability described by the matrix element) to other out-states |X> where X differes from A,B.

So one example could be |e-,e+> which scatters into
|e-,e+>
|2γ>
|2Z°>
...
|q,q-bar>
...
via the electro-weak "exchange force", where |q,q-bar> scatteres into hadronic final states via the strong interaction (of course there are many more possibilities).

If you use this as a "definition of an exchange force" then there are matrix elements where Higgs bosons (or a collection of exchange particles including the Higgs) are exchanged between ingoing particles causing scattering in different out-states.

In that sense there is a Higgs force!
 
Between fermions the Higgs induces a Yukawa-type interaction, which could be called a "force". But it is very short-range (125 GeV ≈ 0.001 fermi) and ultraweak. The coupling constant is m/v where m is the fermion mass and v is the Higgs vacuum strength, about 245 GeV. So for the "Higgs attraction" between two electrons the coupling constant is about 1/500,000. Let's see, the Bohr radius... :smile: (The constant is greater, of course for b-quarks, say.)

But I'd say while technically true, the term "force" here isn't useful. Calling something a force is appropriate in a situation where multiple bosons have an opportunity to act together to form a classical field, and one can talk about the potential energy, and take its gradient. True e.g. of the nuclear force, but not the weak force.
 
OK, if you define "force" as a collective, classical effect then the weak "force" is no force; that's why we call it "interaction" instead of "force"
 

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