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Bednyakov, A. V.; Pikelner, A. F.; Velizhanin, V. N.

Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices. (English) Zbl 1284.81320

Nucl. Phys., B 879, 256-267 (2014).
Summary: Three-loop renormalization group equations for the Higgs self-coupling and Higgs mass parameter are recalculated in the case of complex Yukawa matrices which encompass the general flavor structure of the Standard Model. In addition, the anomalous dimensions for both the quantum Higgs field and its vacuum expectation value are presented in the \(\overline{\text{MS}}\)-scheme. A numerical study of the latter quantities is carried out for a certain set of initial parameters.

Cited in 8 Documents

MSC:

81V22 Unified quantum theories
81T17 Renormalization group methods applied to problems in quantum field theory
81T50 Anomalies in quantum field theory
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)

Keywords:

standard model; renormalization group

Software:

MATAD
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\textit{A. V. Bednyakov} et al., Nucl. Phys., B 879, 256--267 (2014; Zbl 1284.81320)
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