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

David Y.J. Chu, Karl Jansen, Bastian Knippschild, Chi-Jen Lin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Article number110
JournalJournal of High Energy Physics
Issue number1
StatePublished - 1 Jan 2019


  • Lattice Quantum Field Theory
  • Renormalization Group

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