Browsing by Author "Jansen, Karl"

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A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional Phi(6)-term
(2015-05-11)
Chu, David Y. -J.
;
Jansen, Karl
;
Knippschild, Bastian
;
Lin, C. -J. David
;
Nagy, Attila
We discuss the non-thermal phase structure of a chirally invariant Higgs-Yukawa model on the lattice in the presence of a higher dimensional Phi(6)-term. For the exploration of the phase diagram we use analytical, lattice perturbative calculations of the constraint effective potential as well as numerical simulations. We also present first results of the effects of the Phi(6)-term on the lower Higgs boson mass bounds. (C) 2015 The Authors. Published by Elsevier B.V.
Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point
(2019-01-14)
Chu, David Y. -J.
;
Jansen, Karl
;
Knippschild, Bastian
;
Lin, C. -J. David
;
電子物理學系
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.
Higgs-Yukawa Model in Chirally Invariant Lattice Field Theory
(2013)
Bulava, John
;
Gerhold, Philipp
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Jansen, Karl
;
Kallarackal, Jim
;
Knippschild, Bastian
Nonperturbative numerical lattice studies of the Higgs-Yukawa sector of the standard model with exact chiral symmetry are reviewed. In particular, we discuss bounds on the Higgs boson mass at the standard model top quark mass and in the presence of heavy fermions. We present a comprehensive study of the phase structure of the theory at weak and very strong values of the Yukawa coupling as well as at nonzero temperature.