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arxiv: 1812.03972 · v1 · submitted 2018-12-10 · ✦ hep-lat · hep-ph

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Fate of a recent conformal fixed point and β-function in the SU(3) BSM gauge theory with ten massless flavors

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classification ✦ hep-lat hep-ph
keywords betafixedfunctiongaugepointconformalinfraredtheory
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SU(3) gauge theory with $N_f$ fermions in the fundamental representation serves as a theoretical testing ground for possible infrared conformal behavior, which could play a role in BSM composite Higgs models. We use lattice simulations to study the 10-flavor model, for which it has been claimed there is an infrared fixed point in the gauge coupling $\beta$-function. Our results suggest the opposite conclusion, namely we find no $\beta$-function fixed point in the explored range, with qualitative agreement with the 5-loop $\overline{MS}$ prediction. We comment on the inconsistency between our findings and other studies.

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