Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point

David Chu (Department of Electrophysics, National Chiao-Tung University, Hsinchu, 30010, Taiwan) ; Karl Jansen (NIC, DESY Zeuthen, Zeuthen, D-15738, Germany) ; Bastian Knippschild (HISKP, Universität Bonn, Bonn, D-53115, Germany) ; C.J. Lin (Institute of Physics, National Chiao-Tung University, Hsinchu, 30010, Taiwan; Centre for High Energy Physics, Chung-Yuan Christian University, Chung-Li, 32023, Taiwan)

We analyse finite-size scaling behaviour of a four-dimensional Higgs-Yukawa model near the Gaussian infrared fixed point. Through improving the mean-field scaling laws by solving one-loop renormalisation group equations, the triviality property of this model can be manifested in the volume-dependence of moments of the scalar-field zero mode. The scaling formulae for the moments are derived in this work with the inclusion of the leading-logarithmic corrections. To test these formulae, we confront them with data from lattice simulations in a simpler model, namely the O(4) pure scalar theory, and find numerical evidence of good agreement. Our results of the finite-size scaling can in principle be employed to establish triviality of Higgs-Yukawa models, or to search for alternative scenarios in studying their fixed-point structure, if sufficiently large lattices can be reached.

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      "surname": "Jansen", 
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      "surname": "Lin", 
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      "value": "We analyse finite-size scaling behaviour of a four-dimensional Higgs-Yukawa model near the Gaussian infrared fixed point. Through improving the mean-field scaling laws by solving one-loop renormalisation group equations, the triviality property of this model can be manifested in the volume-dependence of moments of the scalar-field zero mode. The scaling formulae for the moments are derived in this work with the inclusion of the leading-logarithmic corrections. To test these formulae, we confront them with data from lattice simulations in a simpler model, namely the O(4) pure scalar theory, and find numerical evidence of good agreement. Our results of the finite-size scaling can in principle be employed to establish triviality of Higgs-Yukawa models, or to search for alternative scenarios in studying their fixed-point structure, if sufficiently large lattices can be reached."
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Published on:
14 January 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 1
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP01(2019)110
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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