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Sperling, Marcus; Stöckinger, Dominik; Voigt, Alexander

Renormalization of vacuum expectation values in spontaneously broken gauge theories. (English) Zbl 1342.81201

J. High Energy Phys. 2013, No. 7, Paper No. 132, 19 p. (2013).
Summary: We compute one-loop and two-loop \(\beta\)-functions for vacuum expectation values (VEVs) in gauge theories. In \(R_\xi\) gauge the VEVs renormalize differently from the respective scalar fields. We focus particularly on the origin and behaviour of this difference and show that it can be interpreted as the anomalous dimension of a certain scalar background field, leading to simple direct computation and qualitative understanding. The results are given for generic as well as supersymmetric gauge theories. These complement the set of well-known \(\gamma\)- and \(\beta\)-functions of Machacek/Vaughn. As an application, we compute the \(\beta\)-functions for VEVs and \(\tan\beta\) in the MSSM, NMSSM, and \(E_6SSM\).

Cited in 13 Documents

MSC:

81R40 Symmetry breaking in quantum theory
81T17 Renormalization group methods applied to problems in quantum field theory

Keywords:

spontaneous symmetry breaking; renormalization group; supersymmetric gauge theory

Software:

SARAH; SUSY Phenomenology toolbox
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\textit{M. Sperling} et al., J. High Energy Phys. 2013, No. 7, Paper No. 132, 19 p. (2013; Zbl 1342.81201)
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References:

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