# Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge

@article{Ohta2022HiggsSP, title={Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge}, author={Nobuyoshi Ohta and Masatoshi Yamada}, journal={Physical Review D}, year={2022} }

We study the parametrization and gauge dependences in the Higgs field coupled to gravity in the context of asymptotic safety. We use the exponential parametrization to derive the fixed points for the cosmological constant, Planck mass, Higgs mass and its coupling, keeping arbitrary gauge parameters α and β, and compare the results with the linear split. We find that the beta functions for the Higgs potential are expressed in terms of redefined Planck mass such that the apparent gauge dependence…

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