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Light composite Higgs from an effective action for technicolor · Around

2008

Light composite Higgs from an effective action for technicolor

Doff, A., Natale, A. A., da Silva, P. S. Rodrigues

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We compute an effective action for a composite Higgs boson formed by new fermions belonging to a general technicolor non-Abelian gauge theory, using a quite general expression for the fermionic self-energy that depends on a certain parameter (alpha), that defines the technicolor theory from the extreme walking behavior up to the one with a standard operator product expansion behavior.

We discuss the values of the trilinear and quadrilinear scalar couplings.
Our calculation spans all the possible physical possibilities for mass and couplings of the composite system.
In the case of extreme walking technicolor theories we verify that it is possible to have a composite Higgs boson with a mass as light as the present experimental limit, contrary to the usual expectation of a heavy mass for the composite Higgs boson.

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Odd powers of the effective potential only appear when massive fermions are introduced. This was studied in detail, in the QCD case, by A. Barducci et al
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T. Appelquist, K. D. Lane and U. Mahanta, Phys. Rev. Lett. 61

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Notice that their result was obtained in the context of an Abelian gauge theory dominated by high order interactions at high energy (see reference [ 16 ] )

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Here we are considering a two-loop β \beta function close to an ultraviolet fixed point, which does not jeopardize our previous considerations when proposing the ansatz equation ( 13

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