The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant

Abstract

We consider a chirally invariant lattice Higgs-Yukawa model based on the Neuberger overlap operator. As a first step towards the eventual determination of Higgs mass bounds we study the phase diagram of the model analytically in the large Nf-limit. We present an expression for the effective potential at tree-level in the regime of small Yukawa and quartic coupling constants and determine the order of the phase transitions. In the case of strong Yukawa couplings the model effectively becomes an O(4)-symmetric non-linear sigma-model for all values of the quartic coupling constant. This leads to the existence of a symmetric phase also in the regime of large values of the Yukawa coupling constant. On finite and small lattices, however, strong finite volume effects prevent the expectation value of the Higgs field from vanishing thus obscuring the existence of the symmetric phase at strong Yukawa couplings.

21 pages, 6 figures, added references

Cited by in corpus (28)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
• Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems
• Asymptotic safety of simple Yukawa systems
• Higgs Mass Bounds from Renormalization Flow for a simple Yukawa model
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
• Lower Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model with overlap fermions
• Global flow of the Higgs potential in a Yukawa model
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• $SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions
• Higgs-Yukawa model in chirally-invariant lattice field theory
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops
• Constraining a fourth generation of quarks: non-perturbative Higgs boson mass bounds
• A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional ${\Phi }^6$-term
• Higgs boson mass bounds in the presence of a very heavy fourth quark generation
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• The Higgs boson resonance width from a chiral Higgs-Yukawa model on the lattice
• Spontaneous symmetry breaking in a two-doublet lattice Higgs model
• An asymptotically safe SU(5) GUT
• Four-Fermion Limit of Gauge-Yukawa Theories
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• Renormalization Group Flow of the Higgs Potential
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
• Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point
• Higgs-Yukawa model on the lattice
• Upper Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach