Schwinger-Dyson approach and its application to generate a light composite scalar

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Doff, A.
Natale, A. A. [UNESP]
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We discuss the possibility of generating a light composite scalar boson, in a scenario that we may generically call Technicolor, or in any variation of a strongly interacting theory, where by light we mean a scalar composite mass about one order of magnitude below the characteristic scale of the strong theory. Instead of most of the studies about a composite Higgs boson, which are based on effective Lagrangians, we consider this problem in the framework of nonperturbative solutions of the fermionic Schwinger-Dyson and Bethe-Salpeter equations. We study a range of mechanisms proposed during the recent years to form such light composite boson, and verify that such possibility seems to be necessarily associated to a fermionic self-energy that decreases slowly with the momentum.
composite scalar bosons, nonperturbative calculations, Nonperturbative techniques
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International Journal of Modern Physics A, v. 31, n. 7, 2016.