Scalar resonance in graviton-graviton scattering at high-energies: the graviball

Abstract

We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply S-matrix techniques, based on unitarity and analyticity, we introduce an S-matrix associated to this resummation that is free of infrared divergences. This is achieved by removing the diverging phase factor calculated by Weinberg that multiplies the S matrix, and that stems from the virtual infrared gravitons. A scalar graviton-graviton resonance with vacuum quantum numbers (J^{PC}=0^{++}) is obtained as a pole in the nonperturbative S-wave amplitude, which we call the {\it graviball}. Its resonant effects along the physical real-s axis may peak at values substantially lower than the UV cutoff squared of the theory. For some scenarios, this phenomenon could have phenomenological consequences at relatively low-energy scales, similarly to the σresonance in QCD.

arXiv comment11 pages, 1 figure. Additional discussions are included

References in corpus (73)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• General relativity as an effective field theory: The leading quantum corrections
• Black Holes at the LHC
• The glueball spectrum from an anisotropic lattice study
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• ππscattering
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Leading Quantum Correction to the Newtonian Potential
• A healthy extension of Horava gravity
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Mass and width of the lowest resonance in QCD
• A comprehensive lattice study of SU(3) glueballs
• Chiral Perturbation Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Black Holes and Large N Species Solution to the Hierarchy Problem
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• The inverse amplitude method in Chiral Perturbation Theory
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• The scattering matrix approach for the quantum black hole, an overview
• Eikonal Quantum Gravity and Planckian Scattering
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Further evidence for asymptotic safety of quantum gravity
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Origin of resonances in the chiral unitary approach
• Epsilon expansion for a Fermi gas at infinite scattering length
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Scales of Gravity
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Calculation of Graviton Scattering Amplitudes using String-Based Methods
• Nnaturalness
• The Origin of Spontaneous Symmetry Breaking in Theories with Large Extra Dimensions
• Large-N bounds on, and compositeness limit of, gauge and gravitational interactions
• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Hadronic Structure in the Decay ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{\pi }^0{\pi }^0$ and the Sign of the Tau Neutrino Helicity
• Universality in the classical limit of massless gravitational scattering
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• The gravitational S-matrix
• Self-healing of unitarity in effective field theories and the onset of new physics
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Where is String Theory?
• Scale of Quantum Gravity
• On the size of the sigma meson and its nature
• Towards an S-matrix Description of Gravitational Collapse
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Quantum Information and Gravity Cutoff in Theories with Species
• Final State Interactions in Hadronic D decays
• S-matrix Bootstrap for Effective Field Theories: Massless Pions
• Construction of an asymptotic S matrix for perturbative quantum gravity
• Flux Tube S-matrix Bootstrap
• EPFL Lectures on General Relativity as a Quantum Field Theory
• The Case of a WW Dynamical Scalar Resonance within a Chiral Effective Description of the Strongly Interacting Higgs Sector
• Two photons into π^0π^0
• Scalar radius of the pion and zeros in the form factor
• The Lightest of Black Holes
• New results from a number operator interpretation of the compositeness of bound and resonant states
• Nature of Microscopic Black Holes and Gravity in Theories with Particle Species
• A note on the absence of $R^2$ corrections to Newton's potential
• The Two-Loop Four-Graviton Scattering Amplitudes
• Anomalous Dimensions of Effective Theories from Partial Waves
• A brief overview of hard-thermal-loop perturbation theory
• Ground-state energy of the unitary Fermi gas from the epsilon expansion
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• On amplitudes, resonances and the ultraviolet completion of gravity
• Semiclassical S-matrix for black holes
• Unitarization of infinite-range forces: graviton-graviton scattering

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• Unitarized one-loop graviton-graviton scattering
• Seeking for resonances in unitarized one-loop graviton-graviton scattering
• Soft-Theorems for Scalar Particles: The Dilatons Story
• Unitarizing infinite-range forces: Graviton-graviton scattering, the graviball, and Coulomb scattering