Gravitational Interaction of Higgs Boson and Weak Boson Scattering

Abstract

With the LHC discovery of a 125 GeV Higgs-like boson, we study gravitational interaction of the Higgs boson via the unique dimension-4 operator involving Higgs doublet and scalar curvature, $\xi H^{†}HR$, with nonminimal coupling $\xi$. This Higgs portal term can be transformed away in Einstein frame and induces gauge-invariant effective interactions in the Higgs sector. We study the weak boson scattering in Einstein frame, and explicitly demonstrate the longitudinal-Goldstone boson equivalence theorem in the presence of $\xi$ coupling. With these, we derive unitarity bound on the Higgs gravitational coupling $\xi$ in Einstein frame, which is stronger than that inferred from the current LHC Higgs measurements. We further study $\xi$-dependent weak boson scattering cross sections at TeV scale, and propose a new LHC probe of the Higgs-gravity coupling $\xi$ via weak boson scattering experiments.

7pp, Phys.Rev.D Published Version. All results + conclusions un-changed. Only minor rewording to clarify the Importance of this work

References in corpus (10)

• 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
• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• Remarks on Higgs Inflation
• LHC Higgs Signatures from Topflavor Seesaw Mechanism
• LHC Higgs Signatures from Extended Electroweak Gauge Symmetry
• On the unitarity of linearized General Relativity coupled to matter
• Unitarity bounds on low scale quantum gravity
• Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the LHC

Cited by in corpus (41)

• Standard Model Background of the Cosmological Collider
• Planck scale black hole dark matter from Higgs inflation
• Probing New Physics of Cubic Higgs Interaction via Higgs Pair Production at Hadron Colliders
• Self-healing of unitarity in Higgs inflation
• Higgs inflation with the Holst and the Nieh-Yan term
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• Higgs inflation at the hilltop
• Gravitational Portals with Non-Minimal Couplings
• Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
• UV (in)sensitivity of Higgs inflation
• Quantum corrections in Higgs inflation: the Standard Model case
• The Lightest of Black Holes
• Extending Higgs Inflation with TeV Scale New Physics
• Implications of Palatini gravity for inflation and beyond
• Higgs inflation and teleparallel gravity
• Quasinormal modes of a black hole with a cloud of strings in Einstein-Gauss-Bonnet gravity
• Realizing Dark Matter and Higgs Inflation in Light of LHC Diphoton Excess
• Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
• Critical point Higgs inflation in the Palatini formulation
• Probe Higgs boson pair production via the $3\ell 2j$ + missing $E_T$ mode
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Higgs-$R^2$ inflation -- full slow-roll study at tree-level
• The study of neutral triple gauge couplings in the process $e^{+}{e}^{-}\to Z\gamma$ including unitarity bounds
• Structure of Kaluza-Klein Graviton Scattering Amplitudes from Gravitational Equivalence Theorem and Double-Copy
• Asymptotically Safe Higgs Inflation
• Ultraviolet behaviour of Higgs inflation models
• Non-minimally Coupled Vector Boson Dark Matter
• Inflation with $R_{(\alpha \beta )}$ terms in the Palatini formulation
• Structure of Chern-Simons Scattering Amplitudes from Topological Equivalence Theorem and Double-Copy
• Higgs potential from extended Brans-Dicke theory and the time-evolution of the fundamental constants
• Effects of Curvature-Higgs Coupling on Electroweak Fine-Tuning
• Probing Gravitational Dark Matter
• Particle decay in expanding Friedmann-Robertson-Walker universes
• Search for Higgs shifts in white dwarfs
• Higgs inflation in Gauss-Bonnet braneworld
• Discovery potential of Higgs boson pair production through 4$\ell$+$E/$ final states at a 100 TeV collider
• Cosmic Acceleration in an Extended Brans-Dicke-Higgs Theory
• Dark matter annihilation into leptons through gravity portals
• Non-minimal Higgs-gravity coupling and naturalness at the LHC and beyond
• Vacuum Stability Bounds On Higgs Mass With Gravitational Contributions
• Higgs Inflation With Four-form Couplings