Abstract
The Higgs is a scalar boson and all the other known particles of this sort are bound states of a strongly interacting sector (namely QCD) whose confinement scale is not far from the particle’s mass. It is thus legitimate to ask if the same could be true for the Higgs. Clearly QCD cannot be responsible for the formation of the Higgs particle and a new strongly interacting sector, i.e. the existence of a new strong force, needs to be postulated if we want to explore this possibility.
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Notes
- 1.
- 2.
The result is obtained by estimating the energy scale where the four-graviton vertex, \(g_{G}^{2}\), reaches the perturbativity bound of 16π 2.
- 3.
Other light degrees of freedom might well be present in the low-energy theory, provided they are coupled weakly enough to have escaped detection. Their presence would not affect the considerations that follow.
- 4.
This doesn’t make it completely untestable. Purely Majorana neutrino masses would be a strong indication of its validity while observing a large Dirac component would make it less appealing.
- 5.
- 6.
There is also the cosmological constant term, of d = 0. It poses another Naturalness problem that we will mention later in this chapter.
- 7.
Actually G F is taken as an input parameter in actual calculations because it is better measured than g W and m W , but this doesn’t affect the conceptual point we are making.
- 8.
- 9.
A theory with nearly massless u, d and s quarks, and all the others with masses at the EW scale \(\sim m_{Z}\), at which \(g_{S} \sim 4\pi /10\) well within the perturbative regime, is what we actually have in mind for our analogy.
- 10.
Those particles might be “partially composite”, a concept that we will introduce and discuss extensively in these Notes.
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Panico, G., Wulzer, A. (2016). Introduction. In: The Composite Nambu-Goldstone Higgs. Lecture Notes in Physics, vol 913. Springer, Cham. https://doi.org/10.1007/978-3-319-22617-0_1
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