Composite scalar boson mass dependence on the constituent mass anomalous dimension

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Doff, A.
Natale, A. A. [UNESP]

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World Scientific Publ Co Pte Ltd


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 (?), and we obtain a relation showing how the scalar mass decreases as ? 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 ?. An estimate of the top quark loop effect that must appear in the BSE calculation gives a lower bound on the composite scalar mass.



Bethe-Salpeter equation, composite scalar bosons, nonperturbative techniques, nonperturbative calculations

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International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, 15 p., 2023.