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Composite scalar boson mass dependence on the constituent mass anomalous dimension

DAFIS, Universidade Tecnológica Federal do Paraná — UTFPR, R. Doutor Washington Subtil Chueire, 330 Jardim Carvalho, 84017-220 Ponta Grossa, Paraná, Brazil

E-mail Address: agomes@utfpr.edu.br

Corresponding author.

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A. A. Natale

Instituto de Física Teórica — UNESP, Rua Dr. Bento T. Ferraz, 271, Bloco II, 01140-070 São Paulo, São Paulo, Brazil

E-mail Address: natale@ift.unesp.br

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https://doi.org/10.1142/S0217751X2350046XCited by:1 (Source: Crossref)

Abstract

We perform a Bethe–Salpeter equation (BSE) evaluation of composite scalar boson masses in order to verify how these masses can be smaller than the composition scale. The calculation is developed with a constituent self-energy dependent on its mass anomalous dimension ( $γ$ $γ$ ), and we obtain a relation showing how the scalar mass decreases as $γ$ $γ$ is increased. We also discuss how fermionic corrections to the BSE kernel shall decrease the scalar mass, whose effect can be as important as the one of a large $γ$ $γ$ . An estimate of the top quark loop effect that must appear in the BSE calculation gives a lower bound on the composite scalar mass.

Keywords:

PACS: 12.60.Nz, 12.60.Cn, 12.60.Rc, 11.15.Tk

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