Impact of generalized Yukawa interactions on the lower Higgs mass bound

Abstract

We investigate the impact of operators of higher canonical dimension on the lower Higgs mass consistency bound by means of generalized Higgs-Yukawa interactions. Analogously to higher-order operators in the bare Higgs potential in an effective field theory approach, the inclusion of higher-order Yukawa interactions, e.g., ${\varphi }^3\bar{\psi }\psi$, leads to a diminishing of the lower Higgs mass bound and thus to a shift of the scale of new physics towards larger scales by a few orders of magnitude without introducing a metastability in the effective Higgs potential. We observe that similar renormalization group mechanisms near the weak-coupling fixed point are at work in both generalizations of the microscopic action. Thus, a combination of higher-dimensional operators with generalized Higgs as well as Yukawa interactions does not lead to an additive shift of the lower mass bound, but relaxes the consistency bounds found recently only slightly. On the method side, we clarify the convergence properties of different projection and expansion schemes for the Yukawa potential used in the functional renormalization group literature so far.

18 pages, 5 figures

References in corpus (26)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Exact evolution equation for the effective potential
• Cosmological implications of the Higgs mass measurement
• The Probable Fate of the Standard Model
• Asymptotic safety: a simple example
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Flow Equations for the BCS-BEC Crossover
• The Higgs Mass and the Scale of New Physics
• Ising and Gross-Neveu model in next-to-leading order
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
• Multi-meson Yukawa interactions at criticality
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
• (No) Eternal Inflation and Precision Higgs Physics
• Manifestly Gauge Invariant QCD
• Lower Higgs boson mass bounds from a chirally invariant lattice Higgs-Yukawa model with overlap fermions
• The Planck scale, the Higgs mass and scalar dark matter
• Flow Equation for Supersymmetric Quantum Mechanics
• Predicting the singlet vector channel in a partially Higgsed gauge theory
• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
• Convergence of Derivative Expansion in Supersymmetric Functional RG Flows
• Asymptotically free scaling solutions in nonabelian Higgs models
• A lattice study of a chirally invariant Higgs-Yukawa model including a higher dimensional ${\Phi }^6$-term
• Universal behavior of coupled order parameters below three dimensions
• Gravitational effects on vanishing Higgs potential at the Planck scale
• Pairing in Asymmetric Many-Fermion Systems: Functional Renormalisation Group Approach

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• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• The quantum criticality of the Standard Model and the hierarchy problem
• Quintessence and false vacuum: Two sides of the same coin?