Journal Article Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity

Oda, Kinya  ,  Yamada, Masatoshi

33 ( 12 )  , p.125011 , 2016-05-16 , Institute of Physics Publishing
We study the fixed-point structure of the Higgs-Yukawa model, with its scalar being non-minimally coupled to the asymptotically safe gravity, using the functional renormalization group. We have obtained the renormalization group equations for the cosmological and Newton constants, the scalar mass squared and quartic coupling constant, and the Yukawa and non-minimal coupling constants, taking into account all the scalar, fermion, and graviton loops. We find that switching on the fermionic quantum fluctuations makes the non-minimal coupling constant irrelevant around the Gaussian-matter fixed point with asymptotically safe gravity. © 2016 IOP Publishing Ltd.
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