Scalar coupling evolution in a non-perturbative QCD resummation scheme

We compute the Standard Model scalar coupling ($λ$) evolution in a particular QCD resummation scheme, where the QCD coupling becomes infrared finite due to the presence of a dynamically generated gluon mass, leading to the existence of a non-perturbative infrared fixed point. We discuss how this scheme can be fixed taking recourse to phenomenological considerations in the infrared region. The QCD $β$ function associated to this non-perturbative coupling when introduced into the SM renormalization group equations increases the $λ$ values at high energies.

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