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arXiv · 1305.1548

Renormalization of vacuum expectation values in spontaneously broken gauge theories

Marcus Sperling·Dominik Stöckinger·Alexander Voigt
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Abstract

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 behavior 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 E6SSM.

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Marcus Sperling, Dominik Stöckinger, Alexander Voigt. 2013-10-08. Renormalization of vacuum expectation values in spontaneously broken gauge theories. https://doi.org/10.1007/jhep07(2013)132

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